52920 has 96 divisors (see below), whose sum is σ = 205200. Its totient is φ = 12096.

The previous prime is 52919. The next prime is 52937. The reversal of 52920 is 2925.

52920 = T₁₁₁ + T₁₁₂ + ... + T₁₁₈.

52920 = 7³ + 8³ + ... + 21³.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 52893 and 52902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7557 + ... + 7563.

2⁵²⁹²⁰ 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 52920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102600).

52920 is an abundant number, since it is smaller than the sum of its proper divisors (152280).

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

52920 is a wasteful number, since it uses less digits than its factorization.

52920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 52920 is about 230.0434741522. The cubic root of 52920 is about 37.5439484741.

The spelling of 52920 in words is "fifty-two thousand, nine hundred twenty".