13015680 has 64 divisors (see below), whose sum is σ = 41493600. Its totient is φ = 3470336.

The previous prime is 13015669. The next prime is 13015721. The reversal of 13015680 is 8651031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13015680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1470 + ... + 5309.

Almost surely, 2^13015680 is an apocalyptic number.

13015680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13015680 is an abundant number, since it is smaller than the sum of its proper divisors (28477920).

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

13015680 is an equidigital number, since it uses as much as digits as its factorization.

13015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 13015680 is about 3607.7250449556. The cubic root of 13015680 is about 235.2279665019.

It can be divided in two parts, 13015 and 680, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 13015680 in words is "thirteen million, fifteen thousand, six hundred eighty".