580752 has 60 divisors (see below), whose sum is σ = 1684540. Its totient is φ = 186624.

The previous prime is 580747. The next prime is 580757. The reversal of 580752 is 257085.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (580747) and next prime (580757).

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 112896 = 684^2 + 336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5274 + ... + 5382.

2⁵⁸⁰⁷⁵² 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 580752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842270).

580752 is an abundant number, since it is smaller than the sum of its proper divisors (1103788).

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

580752 is a wasteful number, since it uses less digits than its factorization.

580752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 580752 is about 762.0708628468. The cubic root of 580752 is about 83.4315357854.

The spelling of 580752 in words is "five hundred eighty thousand, seven hundred fifty-two".