56313600 has 216 divisors, whose sum is σ = 212903040. Its totient is φ = 12840960.

The previous prime is 56313557. The next prime is 56313601. The reversal of 56313600 is 631365.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56313601) 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, 134191 + ... + 134609.

Almost surely, 2^56313600 is an apocalyptic number.

56313600 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 56313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106451520).

56313600 is an abundant number, since it is smaller than the sum of its proper divisors (156589440).

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

56313600 is a wasteful number, since it uses less digits than its factorization.

56313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 56313600 is about 7504.2388021704. The cubic root of 56313600 is about 383.2990685609.

Adding to 56313600 its reverse (631365), we get a palindrome (56944965).

The spelling of 56313600 in words is "fifty-six million, three hundred thirteen thousand, six hundred".