56384640 has 256 divisors, whose sum is σ = 215913600. Its totient is φ = 13824000.

The previous prime is 56384623. The next prime is 56384651. The reversal of 56384640 is 4648365.

56384640 is a `hidden beast` number, since 5 + 6 + 3 + 8 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56384595 and 56384604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224515 + ... + 224765.

Almost surely, 2^56384640 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 56384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107956800).

56384640 is an abundant number, since it is smaller than the sum of its proper divisors (159528960).

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

56384640 is a wasteful number, since it uses less digits than its factorization.

56384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 56384640 is about 7508.9706351803. The cubic root of 56384640 is about 383.4601789839.

The spelling of 56384640 in words is "fifty-six million, three hundred eighty-four thousand, six hundred forty".