56345600 has 132 divisors (see below), whose sum is σ = 146204928. Its totient is φ = 21504000.

The previous prime is 56345591. The next prime is 56345617. The reversal of 56345600 is 654365.

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, 793565 + ... + 793635.

Almost surely, 2^56345600 is an apocalyptic number.

56345600 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 56345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73102464).

56345600 is an abundant number, since it is smaller than the sum of its proper divisors (89859328).

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

56345600 is a wasteful number, since it uses less digits than its factorization.

56345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 56345600 is about 7506.3706276735. The cubic root of 56345600 is about 383.3716575840.

Adding to 56345600 its reverse (654365), we get a palindrome (56999965).

The spelling of 56345600 in words is "fifty-six million, three hundred forty-five thousand, six hundred".