712564920 has 48 divisors (see below), whose sum is σ = 2315837160. Its totient is φ = 190017216.

The previous prime is 712564903. The next prime is 712564921. The reversal of 712564920 is 29465217.

712564920 is a `hidden beast` number, since 7 + 1 + 2 + 5 + 649 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712564921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 989314 + ... + 990033.

Almost surely, 2^712564920 is an apocalyptic number.

It is an amenable number.

712564920 is an abundant number, since it is smaller than the sum of its proper divisors (1603272240).

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

712564920 is a wasteful number, since it uses less digits than its factorization.

712564920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979364 (or 1979357 counting only the distinct ones).

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

The square root of 712564920 is about 26693.9116653967. The cubic root of 712564920 is about 893.1851199621.

It can be divided in two parts, 71256 and 4920, that added together give a square (76176 = 276²).

The spelling of 712564920 in words is "seven hundred twelve million, five hundred sixty-four thousand, nine hundred twenty".