12872664 has 48 divisors (see below), whose sum is σ = 39845520. Its totient is φ = 3677760.

The previous prime is 12872653. The next prime is 12872681. The reversal of 12872664 is 46627821.

12872664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12267 + ... + 13274.

It is an arithmetic number, because the mean of its divisors is an integer number (830115).

Almost surely, 2^12872664 is an apocalyptic number.

12872664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12872664 is an abundant number, since it is smaller than the sum of its proper divisors (26972856).

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

12872664 is a wasteful number, since it uses less digits than its factorization.

12872664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25560 (or 25553 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 12872664 is about 3587.8494951712. The cubic root of 12872664 is about 234.3632316224.

The spelling of 12872664 in words is "twelve million, eight hundred seventy-two thousand, six hundred sixty-four".