56621600 has 72 divisors (see below), whose sum is σ = 157989888. Its totient is φ = 19411200.

The previous prime is 56621573. The next prime is 56621623. The reversal of 56621600 is 612665.

It is a self number, because there is not a number n which added to its sum of digits gives 56621600.

It is a congruent number.

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, 545 + ... + 10655.

It is an arithmetic number, because the mean of its divisors is an integer number (2194304).

Almost surely, 2^56621600 is an apocalyptic number.

56621600 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 56621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78994944).

56621600 is an abundant number, since it is smaller than the sum of its proper divisors (101368288).

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

56621600 is a wasteful number, since it uses less digits than its factorization.

56621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10138 (or 10125 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 56621600 is about 7524.7325533869. The cubic root of 56621600 is about 383.9966000856.

The spelling of 56621600 in words is "fifty-six million, six hundred twenty-one thousand, six hundred".