56562660 has 324 divisors, whose sum is σ = 223518204. Its totient is φ = 11531520.

The previous prime is 56562659. The next prime is 56562691. The reversal of 56562660 is 6626565.

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 25826724 = 5544^2 + 5082^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1067194 + ... + 1067246.

It is an arithmetic number, because the mean of its divisors is an integer number (689871).

Almost surely, 2^56562660 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 56562660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111759102).

56562660 is an abundant number, since it is smaller than the sum of its proper divisors (166955544).

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

56562660 is a wasteful number, since it uses less digits than its factorization.

56562660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 56562660 is about 7520.8151153981. The cubic root of 56562660 is about 383.8633139822.

The spelling of 56562660 in words is "fifty-six million, five hundred sixty-two thousand, six hundred sixty".