56355840 has 132 divisors (see below), whose sum is σ = 195431184. Its totient is φ = 15015936.

The previous prime is 56355839. The next prime is 56355851. The reversal of 56355840 is 4855365.

56355840 is a `hidden beast` number, since 5 + 63 + 558 + 40 = 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 = 56355795 and 56355804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45469 + ... + 46691.

Almost surely, 2^56355840 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 56355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97715592).

56355840 is an abundant number, since it is smaller than the sum of its proper divisors (139075344).

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

56355840 is a wasteful number, since it uses less digits than its factorization.

56355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 56355840 is about 7507.0526839766. The cubic root of 56355840 is about 383.3948802668.

The spelling of 56355840 in words is "fifty-six million, three hundred fifty-five thousand, eight hundred forty".