56625600 has 168 divisors, whose sum is σ = 190487808. Its totient is φ = 14720000.

The previous prime is 56625587. The next prime is 56625607. The reversal of 56625600 is 652665.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56625607) 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, 225475 + ... + 225725.

It is an arithmetic number, because the mean of its divisors is an integer number (1133856).

Almost surely, 2^56625600 is an apocalyptic number.

56625600 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 56625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95243904).

56625600 is an abundant number, since it is smaller than the sum of its proper divisors (133862208).

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

56625600 is a wasteful number, since it uses less digits than its factorization.

56625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 56625600 is about 7524.9983388702. The cubic root of 56625600 is about 384.0056422782.

The spelling of 56625600 in words is "fifty-six million, six hundred twenty-five thousand, six hundred".