52080 has 80 divisors (see below), whose sum is σ = 190464. Its totient is φ = 11520.

The previous prime is 52069. The next prime is 52081. The reversal of 52080 is 8025.

52080 = 25² + 26² + ... + 55².

52080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 (52081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1665 + ... + 1695.

2⁵²⁰⁸⁰ 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 52080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95232).

52080 is an abundant number, since it is smaller than the sum of its proper divisors (138384).

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

52080 is a wasteful number, since it uses less digits than its factorization.

52080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 52080 is about 228.2104292095. The cubic root of 52080 is about 37.3442428435.

The spelling of 52080 in words is "fifty-two thousand, eighty".