56736864 has 36 divisors (see below), whose sum is σ = 161346276. Its totient is φ = 18912192.

The previous prime is 56736863. The next prime is 56736899. The reversal of 56736864 is 46863765.

56736864 is a `hidden beast` number, since 567 + 3 + 6 + 86 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56736863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 98214 + ... + 98789.

It is an arithmetic number, because the mean of its divisors is an integer number (4481841).

Almost surely, 2^56736864 is an apocalyptic number.

It is an amenable number.

56736864 is an abundant number, since it is smaller than the sum of its proper divisors (104609412).

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

56736864 is a wasteful number, since it uses less digits than its factorization.

56736864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197019 (or 197008 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 56736864 is about 7532.3876692587. The cubic root of 56736864 is about 384.2569894315.

It can be divided in two parts, 56736 and 864, that added together give a square (57600 = 240²).

The spelling of 56736864 in words is "fifty-six million, seven hundred thirty-six thousand, eight hundred sixty-four".