1080 has 32 divisors (see below), whose sum is σ = 3600. Its totient is φ = 288.

The previous prime is 1069. The next prime is 1087. The reversal of 1080 is 801.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 3, base 6, base 12 and base 13.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087) by changing a digit.

1080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214 + ... + 218.

2^{1080} is an apocalyptic number.

1080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1080 is the 27-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800).

1080 is an abundant number, since it is smaller than the sum of its proper divisors (2520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1080 is a wasteful number, since it uses less digits than its factorization.

1080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1080 is about 32.8633534503. The cubic root of 1080 is about 10.2598556801.

Adding to 1080 its reverse (801), we get a palindrome (1881).

The spelling of 1080 in words is "one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.104 sec. • engine limits •