579120 has 80 divisors (see below), whose sum is σ = 1904640. Its totient is φ = 145152.

The previous prime is 579119. The next prime is 579133. The reversal of 579120 is 21975.

It is a Cunningham number, because it is equal to 761²-1.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 4497 + ... + 4623.

It is an arithmetic number, because the mean of its divisors is an integer number (23808).

2⁵⁷⁹¹²⁰ 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 579120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952320).

579120 is an abundant number, since it is smaller than the sum of its proper divisors (1325520).

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

579120 is a wasteful number, since it uses less digits than its factorization.

579120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 579120 is about 760.9993429695. Note that the first 3 decimals coincide. The cubic root of 579120 is about 83.3533107660.

The spelling of 579120 in words is "five hundred seventy-nine thousand, one hundred twenty".