56640528 has 120 divisors (see below), whose sum is σ = 183613248. Its totient is φ = 15964416.

The previous prime is 56640523. The next prime is 56640533. The reversal of 56640528 is 82504665.

56640528 is a `hidden beast` number, since 5 + 6 + 640 + 5 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (56640523) and next prime (56640533).

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 = 56640492 and 56640501.

It is not an unprimeable number, because it can be changed into a prime (56640523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83326 + ... + 84002.

Almost surely, 2^56640528 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 56640528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91806624).

56640528 is an abundant number, since it is smaller than the sum of its proper divisors (126972720).

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

56640528 is a wasteful number, since it uses less digits than its factorization.

56640528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 56640528 is about 7525.9901674132. The cubic root of 56640528 is about 384.0393839814.

The spelling of 56640528 in words is "fifty-six million, six hundred forty thousand, five hundred twenty-eight".