56385168 has 80 divisors (see below), whose sum is σ = 170572416. Its totient is φ = 15713280.

The previous prime is 56385139. The next prime is 56385181. The reversal of 56385168 is 86158365.

56385168 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 (42).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11730 + ... + 15822.

Almost surely, 2^56385168 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 56385168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85286208).

56385168 is an abundant number, since it is smaller than the sum of its proper divisors (114187248).

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

56385168 is a wasteful number, since it uses less digits than its factorization.

56385168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4146 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 56385168 is about 7509.0057930461. The cubic root of 56385168 is about 383.4613759195.

The spelling of 56385168 in words is "fifty-six million, three hundred eighty-five thousand, one hundred sixty-eight".