56662560 has 216 divisors, whose sum is σ = 205945740. Its totient is φ = 14183424.

The previous prime is 56662559. The next prime is 56662583. The reversal of 56662560 is 6526665.

It can be written as a sum of positive squares in 2 ways, for example, as 56610576 + 51984 = 7524^2 + 228^2 .

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

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, 519786 + ... + 519894.

Almost surely, 2^56662560 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 56662560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102972870).

56662560 is an abundant number, since it is smaller than the sum of its proper divisors (149283180).

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

56662560 is a wasteful number, since it uses less digits than its factorization.

56662560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 138 counting only the distinct ones).

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

The square root of 56662560 is about 7527.4537527639. The cubic root of 56662560 is about 384.0891719993.

The spelling of 56662560 in words is "fifty-six million, six hundred sixty-two thousand, five hundred sixty".