56610816 has 104 divisors (see below), whose sum is σ = 160412544. Its totient is φ = 17694720.

The previous prime is 56610809. The next prime is 56610821. The reversal of 56610816 is 61801665.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208761 + ... + 209031.

Almost surely, 2^56610816 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 56610816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80206272).

56610816 is an abundant number, since it is smaller than the sum of its proper divisors (103801728).

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

56610816 is a wasteful number, since it uses less digits than its factorization.

56610816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 56610816 is about 7524.0159489464. The cubic root of 56610816 is about 383.9722202126.

The spelling of 56610816 in words is "fifty-six million, six hundred ten thousand, eight hundred sixteen".