533760 has 72 divisors (see below), whose sum is σ = 1716960. Its totient is φ = 141312.

The previous prime is 533747. The next prime is 533777. The reversal of 533760 is 67335.

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

It is a self number, because there is not a number n which added to its sum of digits gives 533760.

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 533760.

It is an unprimeable number.

533760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3771 + ... + 3909.

2⁵³³⁷⁶⁰ 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 533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858480).

533760 is an abundant number, since it is smaller than the sum of its proper divisors (1183200).

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

533760 is a wasteful number, since it uses less digits than its factorization.

533760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 533760 is about 730.5888036372. The cubic root of 533760 is about 81.1176464505.

The spelling of 533760 in words is "five hundred thirty-three thousand, seven hundred sixty".