56632320 has 132 divisors (see below), whose sum is σ = 196389180. Its totient is φ = 15089664.

The previous prime is 56632307. The next prime is 56632337. The reversal of 56632320 is 2323665.

56632320 is a `hidden beast` number, since 5 + 6 + 632 + 3 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42614784 + 14017536 = 6528^2 + 3744^2 .

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45466 + ... + 46694.

Almost surely, 2^56632320 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 56632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98194590).

56632320 is an abundant number, since it is smaller than the sum of its proper divisors (139756860).

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

56632320 is a wasteful number, since it uses less digits than its factorization.

56632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 56632320 is about 7525.4448373501. Note that the first 3 decimals coincide. The cubic root of 56632320 is about 384.0208322032.

Adding to 56632320 its reverse (2323665), we get a palindrome (58955985).

The spelling of 56632320 in words is "fifty-six million, six hundred thirty-two thousand, three hundred twenty".