12564800 has 42 divisors (see below), whose sum is σ = 30921198. Its totient is φ = 5025280.

The previous prime is 12564791. The next prime is 12564803. The reversal of 12564800 is 846521.

It can be written as a sum of positive squares in 3 ways, for example, as 61504 + 12503296 = 248^2 + 3536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12564800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12564803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2327 + ... + 5526.

It is an arithmetic number, because the mean of its divisors is an integer number (736219).

Almost surely, 2^12564800 is an apocalyptic number.

12564800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12564800 is an abundant number, since it is smaller than the sum of its proper divisors (18356398).

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

12564800 is an equidigital number, since it uses as much as digits as its factorization.

12564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7875 (or 7860 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 12564800 is about 3544.6861638233. The cubic root of 12564800 is about 232.4797839593.

The spelling of 12564800 in words is "twelve million, five hundred sixty-four thousand, eight hundred".