580560 has 80 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 148480.

The previous prime is 580553. The next prime is 580561. The reversal of 580560 is 65085.

580560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 580560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580561) by changing a digit.

580560 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, 9811 + ... + 9869.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2⁵⁸⁰⁵⁶⁰ 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 580560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

580560 is an abundant number, since it is smaller than the sum of its proper divisors (1294320).

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

580560 is a wasteful number, since it uses less digits than its factorization.

580560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 580560 is about 761.9448798962. The cubic root of 580560 is about 83.4223404545.

The spelling of 580560 in words is "five hundred eighty thousand, five hundred sixty".