56604240 has 240 divisors, whose sum is σ = 237234816. Its totient is φ = 11750400.

The previous prime is 56604239. The next prime is 56604241. The reversal of 56604240 is 4240665.

It is a happy number.

56604240 is a `hidden beast` number, since 56 + 604 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56604239) and next prime (56604241).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56604241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54930 + ... + 55950.

Almost surely, 2^56604240 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 56604240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118617408).

56604240 is an abundant number, since it is smaller than the sum of its proper divisors (180630576).

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

56604240 is a wasteful number, since it uses less digits than its factorization.

56604240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 56604240 is about 7523.5789355864. The cubic root of 56604240 is about 383.9573520344.

The spelling of 56604240 in words is "fifty-six million, six hundred four thousand, two hundred forty".