558960 has 80 divisors (see below), whose sum is σ = 1848096. Its totient is φ = 139264.

The previous prime is 558947. The next prime is 558973. The reversal of 558960 is 69855.

It is an interprime number because it is at equal distance from previous prime (558947) and next prime (558973).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

558960 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, 4012 + ... + 4148.

2⁵⁵⁸⁹⁶⁰ 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 558960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924048).

558960 is an abundant number, since it is smaller than the sum of its proper divisors (1289136).

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

558960 is a wasteful number, since it uses less digits than its factorization.

558960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 558960 is about 747.6362752034. The cubic root of 558960 is about 82.3746489393.

The spelling of 558960 in words is "five hundred fifty-eight thousand, nine hundred sixty".