12564880 has 20 divisors (see below), whose sum is σ = 29213532. Its totient is φ = 5025920.

The previous prime is 12564847. The next prime is 12564883. The reversal of 12564880 is 8846521.

It can be written as a sum of positive squares in 2 ways, for example, as 7311616 + 5253264 = 2704^2 + 2292^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (12564883) 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, 78451 + ... + 78610.

Almost surely, 2^12564880 is an apocalyptic number.

12564880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12564880 is an abundant number, since it is smaller than the sum of its proper divisors (16648652).

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

12564880 is a wasteful number, since it uses less digits than its factorization.

12564880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157074 (or 157068 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 12564880 is about 3544.6974483022. The cubic root of 12564880 is about 232.4802773573.

The spelling of 12564880 in words is "twelve million, five hundred sixty-four thousand, eight hundred eighty".