56545664 has 64 divisors (see below), whose sum is σ = 129776640. Its totient is φ = 24039936.

The previous prime is 56545637. The next prime is 56545669. The reversal of 56545664 is 46654565.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56545669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199667 + ... + 199949.

It is an arithmetic number, because the mean of its divisors is an integer number (2027760).

Almost surely, 2^56545664 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 56545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64888320).

56545664 is an abundant number, since it is smaller than the sum of its proper divisors (73230976).

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

56545664 is a wasteful number, since it uses less digits than its factorization.

56545664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 515 counting only the distinct ones).

The product of its digits is 432000, while the sum is 41.

The square root of 56545664 is about 7519.6850997898. The cubic root of 56545664 is about 383.8248622636.

The spelling of 56545664 in words is "fifty-six million, five hundred forty-five thousand, six hundred sixty-four".