56664 has 24 divisors (see below), whose sum is σ = 153660. Its totient is φ = 18864.

The previous prime is 56663. The next prime is 56671. The reversal of 56664 is 46665.

56664 = T₁₁₅ + T₁₁₆ + ... + T₁₂₂.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56664.

It is not an unprimeable number, because it can be changed into a prime (56663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 322 + ... + 465.

2⁵⁶⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

56664 is an abundant number, since it is smaller than the sum of its proper divisors (96996).

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

56664 is a wasteful number, since it uses less digits than its factorization.

56664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 792 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 56664 is about 238.0420130985. The cubic root of 56664 is about 38.4092425669.

Subtracting from 56664 its reverse (46665), we obtain a palindrome (9999).

It can be divided in two parts, 566 and 64, that added together give a triangular number (630 = T₃₅).

The spelling of 56664 in words is "fifty-six thousand, six hundred sixty-four".