580068 has 48 divisors (see below), whose sum is σ = 1552320. Its totient is φ = 187200.

The previous prime is 580033. The next prime is 580079. The reversal of 580068 is 860085.

580068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

580068 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, 4363 + ... + 4493.

It is an arithmetic number, because the mean of its divisors is an integer number (32340).

2⁵⁸⁰⁰⁶⁸ 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 580068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776160).

580068 is an abundant number, since it is smaller than the sum of its proper divisors (972252).

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

580068 is a wasteful number, since it uses less digits than its factorization.

580068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 580068 is about 761.6219534651. The cubic root of 580068 is about 83.3987681615.

The spelling of 580068 in words is "five hundred eighty thousand, sixty-eight".