56634600 has 96 divisors (see below), whose sum is σ = 191550240. Its totient is φ = 13728000.

The previous prime is 56634559. The next prime is 56634601. The reversal of 56634600 is 643665.

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

It is not an unprimeable number, because it can be changed into a prime (56634601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2310 + ... + 10890.

It is an arithmetic number, because the mean of its divisors is an integer number (1995315).

Almost surely, 2^56634600 is an apocalyptic number.

56634600 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 56634600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95775120).

56634600 is an abundant number, since it is smaller than the sum of its proper divisors (134915640).

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

56634600 is a wasteful number, since it uses less digits than its factorization.

56634600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8611 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 56634600 is about 7525.5963218871. The cubic root of 56634600 is about 384.0259856547.

The spelling of 56634600 in words is "fifty-six million, six hundred thirty-four thousand, six hundred".