558080 has 44 divisors (see below), whose sum is σ = 1351020. Its totient is φ = 221184.

The previous prime is 558067. The next prime is 558083. The reversal of 558080 is 80855.

It can be written as a sum of positive squares in 2 ways, for example, as 295936 + 262144 = 544^2 + 512^2 .

It is a super-2 number, since 2×558080² = 622906572800, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (558083) by changing a digit.

558080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5066 + ... + 5174.

It is an arithmetic number, because the mean of its divisors is an integer number (30705).

2⁵⁵⁸⁰⁸⁰ 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 558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675510).

558080 is an abundant number, since it is smaller than the sum of its proper divisors (792940).

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

558080 is a wasteful number, since it uses less digits than its factorization.

558080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 558080 is about 747.0475219154. The cubic root of 558080 is about 82.3313973257.

It can be divided in two parts, 5 and 58080, that added together give a palindrome (58085).

The spelling of 558080 in words is "five hundred fifty-eight thousand, eighty".