580830 has 32 divisors (see below), whose sum is σ = 1468800. Its totient is φ = 146592.

The previous prime is 580813. The next prime is 580837. The reversal of 580830 is 38085.

It is a self number, because there is not a number n which added to its sum of digits gives 580830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580837) by changing a digit.

580830 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, 61 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (45900).

2⁵⁸⁰⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734400).

580830 is an abundant number, since it is smaller than the sum of its proper divisors (887970).

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

580830 is a wasteful number, since it uses less digits than its factorization.

580830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 580830 is about 762.1220374717. The cubic root of 580830 is about 83.4352708097.

The spelling of 580830 in words is "five hundred eighty thousand, eight hundred thirty".