530880 has 112 divisors (see below), whose sum is σ = 1950720. Its totient is φ = 119808.

The previous prime is 530869. The next prime is 530897. The reversal of 530880 is 88035.

It is a tau number, because it is divible by the number of its divisors (112).

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 530880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6681 + ... + 6759.

2⁵³⁰⁸⁸⁰ 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 530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975360).

530880 is an abundant number, since it is smaller than the sum of its proper divisors (1419840).

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

530880 is a wasteful number, since it uses less digits than its factorization.

530880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 530880 is about 728.6151247401. The cubic root of 530880 is about 80.9714882123.

The spelling of 530880 in words is "five hundred thirty thousand, eight hundred eighty".