52960 has 24 divisors (see below), whose sum is σ = 125496. Its totient is φ = 21120.

The previous prime is 52957. The next prime is 52963. The reversal of 52960 is 6925.

52960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52957) and next prime (52963).

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6 + ... + 325.

It is an arithmetic number, because the mean of its divisors is an integer number (5229).

2⁵²⁹⁶⁰ 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 52960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62748).

52960 is an abundant number, since it is smaller than the sum of its proper divisors (72536).

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

52960 is a wasteful number, since it uses less digits than its factorization.

52960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 52960 is about 230.1303978183. The cubic root of 52960 is about 37.5534053884.

The spelling of 52960 in words is "fifty-two thousand, nine hundred sixty".