56536704 has 320 divisors, whose sum is σ = 207345600. Its totient is φ = 14929920.

The previous prime is 56536687. The next prime is 56536757. The reversal of 56536704 is 40763565.

56536704 is a `hidden beast` number, since 56 + 536 + 70 + 4 = 666.

56536704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1378924 + ... + 1378964.

It is an arithmetic number, because the mean of its divisors is an integer number (647955).

Almost surely, 2^56536704 is an apocalyptic number.

56536704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56536704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103672800).

56536704 is an abundant number, since it is smaller than the sum of its proper divisors (150808896).

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

56536704 is a wasteful number, since it uses less digits than its factorization.

56536704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 56536704 is about 7519.0893065583. The cubic root of 56536704 is about 383.8045880746.

The spelling of 56536704 in words is "fifty-six million, five hundred thirty-six thousand, seven hundred four".