56316600 has 96 divisors (see below), whose sum is σ = 193998000. Its totient is φ = 15016320.

The previous prime is 56316583. The next prime is 56316607. The reversal of 56316600 is 661365.

56316600 is a `hidden beast` number, since 56 + 3 + 1 + 6 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56316607) 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, 186 + ... + 10614.

Almost surely, 2^56316600 is an apocalyptic number.

56316600 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 56316600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96999000).

56316600 is an abundant number, since it is smaller than the sum of its proper divisors (137681400).

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

56316600 is a wasteful number, since it uses less digits than its factorization.

56316600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10454 (or 10439 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 56316600 is about 7504.4386865375. The cubic root of 56316600 is about 383.3058749498.

Adding to 56316600 its reverse (661365), we get a palindrome (56977965).

The spelling of 56316600 in words is "fifty-six million, three hundred sixteen thousand, six hundred".