50964 has 24 divisors (see below), whose sum is σ = 123648. Its totient is φ = 16320.

The previous prime is 50957. The next prime is 50969. The reversal of 50964 is 46905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (5152).

2⁵⁰⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

50964 is an abundant number, since it is smaller than the sum of its proper divisors (72684).

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 (61824).

50964 is a wasteful number, since it uses less digits than its factorization.

50964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 50964 is about 225.7520764024. The cubic root of 50964 is about 37.0755699216.

The spelling of 50964 in words is "fifty thousand, nine hundred sixty-four".