56304640 has 88 divisors (see below), whose sum is σ = 154458432. Its totient is φ = 19292160.

The previous prime is 56304617. The next prime is 56304653. The reversal of 56304640 is 4640365.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 56304599 and 56304608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35055 + ... + 36625.

Almost surely, 2^56304640 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 56304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77229216).

56304640 is an abundant number, since it is smaller than the sum of its proper divisors (98153792).

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

56304640 is a wasteful number, since it uses less digits than its factorization.

56304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 56304640 is about 7503.6417824947. The cubic root of 56304640 is about 383.2787387068.

The spelling of 56304640 in words is "fifty-six million, three hundred four thousand, six hundred forty".