50976 has 48 divisors (see below), whose sum is σ = 151200. Its totient is φ = 16704.

The previous prime is 50971. The next prime is 50989. The reversal of 50976 is 67905.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (50971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 835 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

2⁵⁰⁹⁷⁶ 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 50976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

50976 is an abundant number, since it is smaller than the sum of its proper divisors (100224).

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

50976 is a wasteful number, since it uses less digits than its factorization.

50976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 50976 is about 225.7786526667. The cubic root of 50976 is about 37.0784796352.

It can be divided in two parts, 509 and 76, that added together give a palindrome (585).

The spelling of 50976 in words is "fifty thousand, nine hundred seventy-six".