56736300 has 72 divisors (see below), whose sum is σ = 164920000. Its totient is φ = 15059520.

The previous prime is 56736271. The next prime is 56736301. The reversal of 56736300 is 363765.

56736300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (56736301) 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, 113451 + ... + 113949.

Almost surely, 2^56736300 is an apocalyptic number.

56736300 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 56736300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82460000).

56736300 is an abundant number, since it is smaller than the sum of its proper divisors (108183700).

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

56736300 is a wasteful number, since it uses less digits than its factorization.

56736300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 56736300 is about 7532.3502308377. The cubic root of 56736300 is about 384.2557161755.

The spelling of 56736300 in words is "fifty-six million, seven hundred thirty-six thousand, three hundred".