56400680 has 64 divisors (see below), whose sum is σ = 146067840. Its totient is φ = 19199232.

The previous prime is 56400601. The next prime is 56400689. The reversal of 56400680 is 8600465.

56400680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56400689) 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 15 ways as a sum of consecutive naturals, for example, 43319 + ... + 44601.

It is an arithmetic number, because the mean of its divisors is an integer number (2282310).

Almost surely, 2^56400680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56400680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73033920).

56400680 is an abundant number, since it is smaller than the sum of its proper divisors (89667160).

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

56400680 is a wasteful number, since it uses less digits than its factorization.

56400680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 56400680 is about 7510.0386150805. The cubic root of 56400680 is about 383.4965371016.

The spelling of 56400680 in words is "fifty-six million, four hundred thousand, six hundred eighty".