56953104 has 80 divisors (see below), whose sum is σ = 160114752. Its totient is φ = 17339904.

The previous prime is 56953097. The next prime is 56953109. The reversal of 56953104 is 40135965.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (56953109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66342 + ... + 67194.

Almost surely, 2^56953104 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 56953104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80057376).

56953104 is an abundant number, since it is smaller than the sum of its proper divisors (103161648).

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

56953104 is a wasteful number, since it uses less digits than its factorization.

56953104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 56953104 is about 7546.7280327305. The cubic root of 56953104 is about 384.7445407140.

The spelling of 56953104 in words is "fifty-six million, nine hundred fifty-three thousand, one hundred four".