56436768 has 72 divisors (see below), whose sum is σ = 161860608. Its totient is φ = 18652032.

The previous prime is 56436767. The next prime is 56436791. The reversal of 56436768 is 86763465.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56436767) 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, 35805 + ... + 37347.

It is an arithmetic number, because the mean of its divisors is an integer number (2248064).

Almost surely, 2^56436768 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 56436768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80930304).

56436768 is an abundant number, since it is smaller than the sum of its proper divisors (105423840).

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

56436768 is a wasteful number, since it uses less digits than its factorization.

56436768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1675 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 56436768 is about 7512.4408816309. The cubic root of 56436768 is about 383.5783131388.

The spelling of 56436768 in words is "fifty-six million, four hundred thirty-six thousand, seven hundred sixty-eight".