12588672 has 32 divisors (see below), whose sum is σ = 33439680. Its totient is φ = 4196096.

The previous prime is 12588661. The next prime is 12588683. The reversal of 12588672 is 27688521.

It is an interprime number because it is at equal distance from previous prime (12588661) and next prime (12588683).

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12588672.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16008 + ... + 16775.

It is an arithmetic number, because the mean of its divisors is an integer number (1044990).

Almost surely, 2^12588672 is an apocalyptic number.

12588672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12588672 is an abundant number, since it is smaller than the sum of its proper divisors (20851008).

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

12588672 is an equidigital number, since it uses as much as digits as its factorization.

12588672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32800 (or 32788 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 12588672 is about 3548.0518598239. The cubic root of 12588672 is about 232.6269211050.

The spelling of 12588672 in words is "twelve million, five hundred eighty-eight thousand, six hundred seventy-two".