56073264 has 80 divisors (see below), whose sum is σ = 162822912. Its totient is φ = 16498944.

The previous prime is 56073263. The next prime is 56073289. The reversal of 56073264 is 46237065.

56073264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×56073264³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (56073263) by changing a digit.

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, 12399 + ... + 16305.

Almost surely, 2^56073264 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 56073264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81411456).

56073264 is an abundant number, since it is smaller than the sum of its proper divisors (106749648).

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

56073264 is a wasteful number, since it uses less digits than its factorization.

56073264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 56073264 is about 7488.2083304353. The cubic root of 56073264 is about 382.7530078833.

The spelling of 56073264 in words is "fifty-six million, seventy-three thousand, two hundred sixty-four".