56964400 has 60 divisors (see below), whose sum is σ = 139491072. Its totient is φ = 22347520.

The previous prime is 56964389. The next prime is 56964403. The reversal of 56964400 is 446965.

It is not an unprimeable number, because it can be changed into a prime (56964403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19857 + ... + 22543.

Almost surely, 2^56964400 is an apocalyptic number.

56964400 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 56964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69745536).

56964400 is an abundant number, since it is smaller than the sum of its proper divisors (82526672).

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

56964400 is a wasteful number, since it uses less digits than its factorization.

56964400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 56964400 is about 7547.4763994331. The cubic root of 56964400 is about 384.7699755995.

The spelling of 56964400 in words is "fifty-six million, nine hundred sixty-four thousand, four hundred".