535920 has 160 divisors (see below), whose sum is σ = 2142720. Its totient is φ = 107520.

The previous prime is 535919. The next prime is 535937. The reversal of 535920 is 29535.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

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 535920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18466 + ... + 18494.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2⁵³⁵⁹²⁰ 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 535920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360).

535920 is an abundant number, since it is smaller than the sum of its proper divisors (1606800).

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

535920 is a wasteful number, since it uses less digits than its factorization.

535920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 535920 is about 732.0655708337. The cubic root of 535920 is about 81.2269204664.

The spelling of 535920 in words is "five hundred thirty-five thousand, nine hundred twenty".