52880 has 20 divisors (see below), whose sum is σ = 123132. Its totient is φ = 21120.

The previous prime is 52879. The next prime is 52883. The reversal of 52880 is 8825.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 21904 = 176^2 + 148^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (52883) 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 3 ways as a sum of consecutive naturals, for example, 251 + ... + 410.

2⁵²⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

52880 is an abundant number, since it is smaller than the sum of its proper divisors (70252).

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 (61566).

52880 is a wasteful number, since it uses less digits than its factorization.

52880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 52880 is about 229.9565176289. The cubic root of 52880 is about 37.5344867931.

It can be divided in two parts, 5 and 2880, that multiplied together give a square (14400 = 120²).

The spelling of 52880 in words is "fifty-two thousand, eight hundred eighty".