64056 has 32 divisors (see below), whose sum is σ = 170640. Its totient is φ = 19968.

The previous prime is 64037. The next prime is 64063. The reversal of 64056 is 65046.

It is a super-2 number, since 2×64056² = 8206342272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330 + ... + 486.

2⁶⁴⁰⁵⁶ 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 64056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85320).

64056 is an abundant number, since it is smaller than the sum of its proper divisors (106584).

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

64056 is a wasteful number, since it uses less digits than its factorization.

64056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 64056 is about 253.0928683310. The cubic root of 64056 is about 40.0116632655.

Subtracting from 64056 its product of nonzero digits (720), we obtain a palindrome (63336).

Subtracting 64056 from its reverse (65046), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 640 and 56, that added together give a palindrome (696).

The spelling of 64056 in words is "sixty-four thousand, fifty-six", and thus it is an eban number.