12792864 has 48 divisors (see below), whose sum is σ = 38380608. Its totient is φ = 3654912.

The previous prime is 12792847. The next prime is 12792869. The reversal of 12792864 is 46829721.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12792869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8847 + ... + 10190.

It is an arithmetic number, because the mean of its divisors is an integer number (799596).

Almost surely, 2^12792864 is an apocalyptic number.

12792864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12792864 is an abundant number, since it is smaller than the sum of its proper divisors (25587744).

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

12792864 is a wasteful number, since it uses less digits than its factorization.

12792864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19057 (or 19049 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 12792864 is about 3576.7113386462. The cubic root of 12792864 is about 233.8779405792.

The spelling of 12792864 in words is "twelve million, seven hundred ninety-two thousand, eight hundred sixty-four".