50664 has 16 divisors (see below), whose sum is σ = 126720. Its totient is φ = 16880.

The previous prime is 50651. The next prime is 50671. The reversal of 50664 is 46605.

50664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 50664.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 50664.

It is an unprimeable number.

50664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1032 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

2⁵⁰⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

50664 is an abundant number, since it is smaller than the sum of its proper divisors (76056).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63360).

50664 is a wasteful number, since it uses less digits than its factorization.

50664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2116 counting only the distinct ones).

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

The square root of 50664 is about 225.0866499817. The cubic root of 50664 is about 37.0026781602.

The spelling of 50664 in words is "fifty thousand, six hundred sixty-four".