580368 has 40 divisors (see below), whose sum is σ = 1526688. Its totient is φ = 189952.

The previous prime is 580361. The next prime is 580373. The reversal of 580368 is 863085.

It is not an unprimeable number, because it can be changed into a prime (580361) by changing a digit.

580368 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 7 ways as a sum of consecutive naturals, for example, 5080 + ... + 5192.

2⁵⁸⁰³⁶⁸ 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 580368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763344).

580368 is an abundant number, since it is smaller than the sum of its proper divisors (946320).

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

580368 is a wasteful number, since it uses less digits than its factorization.

580368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 580368 is about 761.8188761116. The cubic root of 580368 is about 83.4131430960.

The spelling of 580368 in words is "five hundred eighty thousand, three hundred sixty-eight".