56032064 has 112 divisors (see below), whose sum is σ = 131673600. Its totient is φ = 23385600.

The previous prime is 56032063. The next prime is 56032079. The reversal of 56032064 is 46023065.

It is a super-2 number, since 2×56032064² = 6279184392200192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56032063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789149 + ... + 789219.

Almost surely, 2^56032064 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 56032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65836800).

56032064 is an abundant number, since it is smaller than the sum of its proper divisors (75641536).

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

56032064 is a wasteful number, since it uses less digits than its factorization.

56032064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 56032064 is about 7485.4568330864. The cubic root of 56032064 is about 382.6592419387.

It can be divided in two parts, 5603 and 2064, that added together give a palindrome (7667).

The spelling of 56032064 in words is "fifty-six million, thirty-two thousand, sixty-four", and thus it is an eban number.