579360 has 96 divisors (see below), whose sum is σ = 1959552. Its totient is φ = 143360.

The previous prime is 579353. The next prime is 579379. The reversal of 579360 is 63975.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

579360 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 15 ways as a sum of consecutive naturals, for example, 8125 + ... + 8195.

It is an arithmetic number, because the mean of its divisors is an integer number (20412).

2⁵⁷⁹³⁶⁰ 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 579360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979776).

579360 is an abundant number, since it is smaller than the sum of its proper divisors (1380192).

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

579360 is a wasteful number, since it uses less digits than its factorization.

579360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 579360 is about 761.1570140254. The cubic root of 579360 is about 83.3648236544.

It can be divided in two parts, 579 and 360, that added together give a palindrome (939).

The spelling of 579360 in words is "five hundred seventy-nine thousand, three hundred sixty".