53820 has 72 divisors (see below), whose sum is σ = 183456. Its totient is φ = 12672.

The previous prime is 53819. The next prime is 53831. The reversal of 53820 is 2835.

53820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 53793 and 53802.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53820.

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, 2329 + ... + 2351.

It is an arithmetic number, because the mean of its divisors is an integer number (2548).

2⁵³⁸²⁰ 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 53820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728).

53820 is an abundant number, since it is smaller than the sum of its proper divisors (129636).

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

53820 is a wasteful number, since it uses less digits than its factorization.

53820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 53820 is about 231.9913791502. The cubic root of 53820 is about 37.7555873782.

The spelling of 53820 in words is "fifty-three thousand, eight hundred twenty".