56586240 has 156 divisors (see below), whose sum is σ = 196780584. Its totient is φ = 15040512.

The previous prime is 56586239. The next prime is 56586259. The reversal of 56586240 is 4268565.

56586240 is a `hidden beast` number, since 56 + 586 + 24 + 0 = 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 = 56586195 and 56586204.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 184167 + ... + 184473.

It is an arithmetic number, because the mean of its divisors is an integer number (1261414).

Almost surely, 2^56586240 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 56586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98390292).

56586240 is an abundant number, since it is smaller than the sum of its proper divisors (140194344).

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

56586240 is a wasteful number, since it uses less digits than its factorization.

56586240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 317 counting only the distinct ones).

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

The square root of 56586240 is about 7522.3826012773. The cubic root of 56586240 is about 383.9166485756.

The spelling of 56586240 in words is "fifty-six million, five hundred eighty-six thousand, two hundred forty".