53920 has 24 divisors (see below), whose sum is σ = 127764. Its totient is φ = 21504.

The previous prime is 53917. The next prime is 53923. The reversal of 53920 is 2935.

It is an interprime number because it is at equal distance from previous prime (53917) and next prime (53923).

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 1936 = 228^2 + 44^2 .

It is not an unprimeable number, because it can be changed into a prime (53923) 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, 9 + ... + 328.

2⁵³⁹²⁰ 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 53920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63882).

53920 is an abundant number, since it is smaller than the sum of its proper divisors (73844).

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

53920 is a wasteful number, since it uses less digits than its factorization.

53920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 53920 is about 232.2068043792. The cubic root of 53920 is about 37.7789567747.

It can be divided in two parts, 5 and 3920, that multiplied together give a square (19600 = 140²).

The spelling of 53920 in words is "fifty-three thousand, nine hundred twenty".