56395584 has 168 divisors, whose sum is σ = 188293248. Its totient is φ = 15805440.

The previous prime is 56395583. The next prime is 56395589. The reversal of 56395584 is 48559365.

56395584 is a `hidden beast` number, since 5 + 63 + 9 + 5 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56395583) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 286174 + ... + 286370.

Almost surely, 2^56395584 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 56395584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94146624).

56395584 is an abundant number, since it is smaller than the sum of its proper divisors (131897664).

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

56395584 is a wasteful number, since it uses less digits than its factorization.

56395584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 56395584 is about 7509.6993282022. The cubic root of 56395584 is about 383.4849866663.

The spelling of 56395584 in words is "fifty-six million, three hundred ninety-five thousand, five hundred eighty-four".