12975264 has 36 divisors (see below), whose sum is σ = 36899226. Its totient is φ = 4324992.

The previous prime is 12975257. The next prime is 12975317. The reversal of 12975264 is 46257921.

12975264 is a `hidden beast` number, since 129 + 7 + 526 + 4 = 666.

12975264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10112400 + 2862864 = 3180^2 + 1692^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22239 + ... + 22814.

Almost surely, 2^12975264 is an apocalyptic number.

It is an amenable number.

12975264 is an abundant number, since it is smaller than the sum of its proper divisors (23923962).

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

12975264 is a wasteful number, since it uses less digits than its factorization.

12975264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45069 (or 45058 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 12975264 is about 3602.1193761451. The cubic root of 12975264 is about 234.9842391724.

It can be divided in two parts, 1297 and 5264, that added together give a 8-th power (6561 = 3⁸).

The spelling of 12975264 in words is "twelve million, nine hundred seventy-five thousand, two hundred sixty-four".