360580 has 36 divisors (see below), whose sum is σ = 837900. Its totient is φ = 130240.

The previous prime is 360551. The next prime is 360589. The reversal of 360580 is 85063.

It can be written as a sum of positive squares in 2 ways, for example, as 81796 + 278784 = 286^2 + 528^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (360589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2346 + ... + 2494.

It is an arithmetic number, because the mean of its divisors is an integer number (23275).

2³⁶⁰⁵⁸⁰ 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 360580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418950).

360580 is an abundant number, since it is smaller than the sum of its proper divisors (477320).

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

360580 is a wasteful number, since it uses less digits than its factorization.

360580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 360580 is about 600.4831388141. The cubic root of 360580 is about 71.1760492602.

The spelling of 360580 in words is "three hundred sixty thousand, five hundred eighty".