50960 has 60 divisors (see below), whose sum is σ = 148428. Its totient is φ = 16128.

The previous prime is 50957. The next prime is 50969. The reversal of 50960 is 6905.

It can be written as a sum of positive squares in 2 ways, for example, as 12544 + 38416 = 112^2 + 196^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3914 + ... + 3926.

2⁵⁰⁹⁶⁰ 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 50960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74214).

50960 is an abundant number, since it is smaller than the sum of its proper divisors (97468).

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

50960 is a wasteful number, since it uses less digits than its factorization.

50960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 50960 is about 225.7432169524. The cubic root of 50960 is about 37.0745999156.

The spelling of 50960 in words is "fifty thousand, nine hundred sixty".