13182880 has 24 divisors (see below), whose sum is σ = 31144932. Its totient is φ = 5273088.

The previous prime is 13182857. The next prime is 13182881. The reversal of 13182880 is 8828131.

It can be written as a sum of positive squares in 2 ways, for example, as 12873744 + 309136 = 3588^2 + 556^2 .

It is not an unprimeable number, because it can be changed into a prime (13182881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41037 + ... + 41356.

Almost surely, 2^13182880 is an apocalyptic number.

13182880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13182880 is an abundant number, since it is smaller than the sum of its proper divisors (17962052).

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

13182880 is an equidigital number, since it uses as much as digits as its factorization.

13182880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82408 (or 82400 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 13182880 is about 3630.8235980284. The cubic root of 13182880 is about 236.2309335788.

The spelling of 13182880 in words is "thirteen million, one hundred eighty-two thousand, eight hundred eighty".