56663136 has 72 divisors (see below), whose sum is σ = 162175104. Its totient is φ = 18766080.

The previous prime is 56663093. The next prime is 56663137. The reversal of 56663136 is 63136665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56663136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56663137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51585 + ... + 52671.

It is an arithmetic number, because the mean of its divisors is an integer number (2252432).

Almost surely, 2^56663136 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 56663136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81087552).

56663136 is an abundant number, since it is smaller than the sum of its proper divisors (105511968).

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

56663136 is a wasteful number, since it uses less digits than its factorization.

56663136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1273 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 56663136 is about 7527.4920126162. The cubic root of 56663136 is about 384.0904734737.

The spelling of 56663136 in words is "fifty-six million, six hundred sixty-three thousand, one hundred thirty-six".