56380600 has 96 divisors (see below), whose sum is σ = 142066800. Its totient is φ = 20736000.

The previous prime is 56380579. The next prime is 56380607. The reversal of 56380600 is 608365.

56380600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56380607) 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, 140400 + ... + 140800.

Almost surely, 2^56380600 is an apocalyptic number.

56380600 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 56380600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71033400).

56380600 is an abundant number, since it is smaller than the sum of its proper divisors (85686200).

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

56380600 is a wasteful number, since it uses less digits than its factorization.

56380600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 56380600 is about 7508.7016187887. The cubic root of 56380600 is about 383.4510203660.

Adding to 56380600 its reverse (608365), we get a palindrome (56988965).

The spelling of 56380600 in words is "fifty-six million, three hundred eighty thousand, six hundred".