56935536 has 80 divisors (see below), whose sum is σ = 169036800. Its totient is φ = 16176384.

The previous prime is 56935519. The next prime is 56935553. The reversal of 56935536 is 63553965.

It is an interprime number because it is at equal distance from previous prime (56935519) and next prime (56935553).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 79950 + ... + 80658.

It is an arithmetic number, because the mean of its divisors is an integer number (2112960).

Almost surely, 2^56935536 is an apocalyptic number.

56935536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56935536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84518400).

56935536 is an abundant number, since it is smaller than the sum of its proper divisors (112101264).

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

56935536 is a wasteful number, since it uses less digits than its factorization.

56935536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 960 counting only the distinct ones).

The product of its digits is 364500, while the sum is 42.

The square root of 56935536 is about 7545.5639948250. The cubic root of 56935536 is about 384.7049766591.

The spelling of 56935536 in words is "fifty-six million, nine hundred thirty-five thousand, five hundred thirty-six".