582080 has 56 divisors (see below), whose sum is σ = 1481328. Its totient is φ = 217088.

The previous prime is 582067. The next prime is 582083. The reversal of 582080 is 80285.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (582083) by changing a digit.

582080 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5387 + ... + 5493.

2⁵⁸²⁰⁸⁰ 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 582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740664).

582080 is an abundant number, since it is smaller than the sum of its proper divisors (899248).

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

582080 is a wasteful number, since it uses less digits than its factorization.

582080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 582080 is about 762.9416753593. The cubic root of 582080 is about 83.4950814032.

The spelling of 582080 in words is "five hundred eighty-two thousand, eighty".