579960 has 80 divisors (see below), whose sum is σ = 1960200. Its totient is φ = 153792.

The previous prime is 579949. The next prime is 579961. The reversal of 579960 is 69975.

579960 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 (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (579961) by changing a digit.

579960 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 19 ways as a sum of consecutive naturals, for example, 3151 + ... + 3329.

2⁵⁷⁹⁹⁶⁰ 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 579960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980100).

579960 is an abundant number, since it is smaller than the sum of its proper divisors (1380240).

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

579960 is a wasteful number, since it uses less digits than its factorization.

579960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 579960 is about 761.5510488470. The cubic root of 579960 is about 83.3935919718.

579960 divided by its sum of digits (36) gives a triangular number (16110 = T₁₇₉).

The spelling of 579960 in words is "five hundred seventy-nine thousand, nine hundred sixty".