56317600 has 144 divisors (see below), whose sum is σ = 150599736. Its totient is φ = 20480000.

The previous prime is 56317561. The next prime is 56317601. The reversal of 56317600 is 671365.

56317600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 8928144 + 47389456 = 2988^2 + 6884^2 .

It is not an unprimeable number, because it can be changed into a prime (56317601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 557550 + ... + 557650.

Almost surely, 2^56317600 is an apocalyptic number.

56317600 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 56317600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75299868).

56317600 is an abundant number, since it is smaller than the sum of its proper divisors (94282136).

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

56317600 is a wasteful number, since it uses less digits than its factorization.

56317600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 56317600 is about 7504.5053134767. The cubic root of 56317600 is about 383.3081436924.

Adding to 56317600 its reverse (671365), we get a palindrome (56988965).

It can be divided in two parts, 5631 and 7600, that added together give a palindrome (13231).

The spelling of 56317600 in words is "fifty-six million, three hundred seventeen thousand, six hundred".