56610576 has 225 divisors, whose sum is σ = 190074423. Its totient is φ = 16251840.

The previous prime is 56610571. The next prime is 56610577. The reversal of 56610576 is 67501665.

It is a happy number.

The square root of 56610576 is 7524.

It is a perfect power (a square), and thus also a powerful number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56610576.

It is not an unprimeable number, because it can be changed into a prime (56610571) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2979495 + ... + 2979513.

Almost surely, 2^56610576 is an apocalyptic number.

56610576 is the 7524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56610576

56610576 is an abundant number, since it is smaller than the sum of its proper divisors (133463847).

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

56610576 is a wasteful number, since it uses less digits than its factorization.

56610576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The cubic root of 56610576 is about 383.9716775986.

Multiplying 56610576 by its sum of digits (36), we get a square (2037980736 = 45144²).

56610576 divided by its sum of digits (36) gives a square (1572516 = 1254²).

The spelling of 56610576 in words is "fifty-six million, six hundred ten thousand, five hundred seventy-six".