56438064 has 60 divisors (see below), whose sum is σ = 158553096. Its totient is φ = 18740736.

The previous prime is 56438033. The next prime is 56438077. The reversal of 56438064 is 46083465.

56438064 is a `hidden beast` number, since 5 + 643 + 8 + 0 + 6 + 4 = 666.

56438064 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 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 11 ways as a sum of consecutive naturals, for example, 47947 + ... + 49109.

Almost surely, 2^56438064 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 56438064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79276548).

56438064 is an abundant number, since it is smaller than the sum of its proper divisors (102115032).

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

56438064 is a wasteful number, since it uses less digits than its factorization.

56438064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 56438064 is about 7512.5271380541. The cubic root of 56438064 is about 383.5812492488.

The spelling of 56438064 in words is "fifty-six million, four hundred thirty-eight thousand, sixty-four".