56556864 has 252 divisors, whose sum is σ = 203033376. Its totient is φ = 14736384.

The previous prime is 56556859. The next prime is 56556881. The reversal of 56556864 is 46865565.

It is a happy number.

56556864 is a `hidden beast` number, since 565 + 5 + 6 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

Its product of digits (864000) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 681367 + ... + 681449.

It is an arithmetic number, because the mean of its divisors is an integer number (805688).

Almost surely, 2^56556864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56556864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101516688).

56556864 is an abundant number, since it is smaller than the sum of its proper divisors (146476512).

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

56556864 is a wasteful number, since it uses less digits than its factorization.

56556864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 56556864 is about 7520.4297749530. The cubic root of 56556864 is about 383.8502019882.

The spelling of 56556864 in words is "fifty-six million, five hundred fifty-six thousand, eight hundred sixty-four".