56659968 has 156 divisors (see below), whose sum is σ = 172502460. Its totient is φ = 17891328.

The previous prime is 56659961. The next prime is 56659973. The reversal of 56659968 is 86995665.

It can be written as a sum of positive squares in 2 ways, for example, as 35426304 + 21233664 = 5952^2 + 4608^2 .

It is a super-2 number, since 2×56659968² = 6420703947522048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56659961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1069030 + ... + 1069082.

It is an arithmetic number, because the mean of its divisors is an integer number (1105785).

Almost surely, 2^56659968 is an apocalyptic number.

56659968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86251230).

56659968 is an abundant number, since it is smaller than the sum of its proper divisors (115842492).

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

56659968 is a wasteful number, since it uses less digits than its factorization.

56659968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 87 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The square root of 56659968 is about 7527.2815810225. The cubic root of 56659968 is about 384.0833152554.

The spelling of 56659968 in words is "fifty-six million, six hundred fifty-nine thousand, nine hundred sixty-eight".