56953936 has 40 divisors (see below), whose sum is σ = 120304800. Its totient is φ = 25961856.

The previous prime is 56953901. The next prime is 56953951. The reversal of 56953936 is 63935965.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15615 + ... + 18913.

It is an arithmetic number, because the mean of its divisors is an integer number (3007620).

Almost surely, 2^56953936 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 56953936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60152400).

56953936 is an abundant number, since it is smaller than the sum of its proper divisors (63350864).

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

56953936 is a wasteful number, since it uses less digits than its factorization.

56953936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403 (or 3397 counting only the distinct ones).

The product of its digits is 656100, while the sum is 46.

The square root of 56953936 is about 7546.7831557558. The cubic root of 56953936 is about 384.7464142198.

The spelling of 56953936 in words is "fifty-six million, nine hundred fifty-three thousand, nine hundred thirty-six".