12792564 has 36 divisors (see below), whose sum is σ = 32481540. Its totient is φ = 4245120.

The previous prime is 12792547. The next prime is 12792581. The reversal of 12792564 is 46529721.

12792564 is a `hidden beast` number, since 1 + 2 + 7 + 92 + 564 = 666.

12792564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12792547) and next prime (12792581).

It can be written as a sum of positive squares in 2 ways, for example, as 6290064 + 6502500 = 2508^2 + 2550^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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, 9024 + ... + 10344.

It is an arithmetic number, because the mean of its divisors is an integer number (902265).

Almost surely, 2^12792564 is an apocalyptic number.

It is an amenable number.

12792564 is an abundant number, since it is smaller than the sum of its proper divisors (19688976).

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

12792564 is a wasteful number, since it uses less digits than its factorization.

12792564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1595 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 12792564 is about 3576.6694004339. The cubic root of 12792564 is about 233.8761123743.

The spelling of 12792564 in words is "twelve million, seven hundred ninety-two thousand, five hundred sixty-four".