56623600 has 120 divisors (see below), whose sum is σ = 157342608. Its totient is φ = 19353600.

The previous prime is 56623559. The next prime is 56623601. The reversal of 56623600 is 632665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56623601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74422 + ... + 75178.

Almost surely, 2^56623600 is an apocalyptic number.

56623600 is a gapful number since it is divisible by the number (50) 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 56623600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78671304).

56623600 is an abundant number, since it is smaller than the sum of its proper divisors (100719008).

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

56623600 is a wasteful number, since it uses less digits than its factorization.

56623600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 56623600 is about 7524.8654473020. The cubic root of 56623600 is about 384.0011212352.

The spelling of 56623600 in words is "fifty-six million, six hundred twenty-three thousand, six hundred".