56535336 has 288 divisors, whose sum is σ = 201146400. Its totient is φ = 14100480.

The previous prime is 56535301. The next prime is 56535341. The reversal of 56535336 is 63353565.

56535336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 56535336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2975535 + ... + 2975553.

It is an arithmetic number, because the mean of its divisors is an integer number (698425).

Almost surely, 2^56535336 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 56535336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100573200).

56535336 is an abundant number, since it is smaller than the sum of its proper divisors (144611064).

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

56535336 is a wasteful number, since it uses less digits than its factorization.

56535336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its digits is 121500, while the sum is 36.

The square root of 56535336 is about 7518.9983375447. The cubic root of 56535336 is about 383.8014924519.

The spelling of 56535336 in words is "fifty-six million, five hundred thirty-five thousand, three hundred thirty-six".