56456576 has 64 divisors (see below), whose sum is σ = 124223760. Its totient is φ = 25344000.

The previous prime is 56456563. The next prime is 56456593. The reversal of 56456576 is 67565465.

56456576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 142010 + ... + 142406.

Almost surely, 2^56456576 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 56456576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62111880).

56456576 is an abundant number, since it is smaller than the sum of its proper divisors (67767184).

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

56456576 is a wasteful number, since it uses less digits than its factorization.

56456576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 511 counting only the distinct ones).

The product of its digits is 756000, while the sum is 44.

The square root of 56456576 is about 7513.7591124550. The cubic root of 56456576 is about 383.6231835945.

Subtracting 56456576 from its reverse (67565465), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 5645 and 6576, that added together give a palindrome (12221).

The spelling of 56456576 in words is "fifty-six million, four hundred fifty-six thousand, five hundred seventy-six".