56285640 has 144 divisors (see below), whose sum is σ = 194680980. Its totient is φ = 14100480.

The previous prime is 56285633. The next prime is 56285651. The reversal of 56285640 is 4658265.

56285640 is a `hidden beast` number, since 5 + 6 + 2 + 8 + 5 + 640 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 37675044 + 18610596 = 6138^2 + 4314^2 .

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 = 56285595 and 56285604.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103770 + ... + 104310.

Almost surely, 2^56285640 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 56285640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97340490).

56285640 is an abundant number, since it is smaller than the sum of its proper divisors (138395340).

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

56285640 is a wasteful number, since it uses less digits than its factorization.

56285640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 568 counting only the distinct ones).

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

The square root of 56285640 is about 7502.3756237608. The cubic root of 56285640 is about 383.2356213881.

The spelling of 56285640 in words is "fifty-six million, two hundred eighty-five thousand, six hundred forty".