56608 has 24 divisors (see below), whose sum is σ = 117180. Its totient is φ = 26880.

The previous prime is 56599. The next prime is 56611. The reversal of 56608 is 80665.

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 4624 = 228^2 + 68^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 898 + ... + 958.

2⁵⁶⁶⁰⁸ is an apocalyptic number.

56608 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 56608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58590).

56608 is an abundant number, since it is smaller than the sum of its proper divisors (60572).

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

56608 is a wasteful number, since it uses less digits than its factorization.

56608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 56608 is about 237.9243577274. The cubic root of 56608 is about 38.3965853445.

The spelling of 56608 in words is "fifty-six thousand, six hundred eight".