580668 has 48 divisors (see below), whose sum is σ = 1524096. Its totient is φ = 170560.

The previous prime is 580663. The next prime is 580673. The reversal of 580668 is 866085.

580668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (580663) and next prime (580673).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6955 + ... + 7037.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

2⁵⁸⁰⁶⁶⁸ 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 580668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048).

580668 is an abundant number, since it is smaller than the sum of its proper divisors (943428).

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

580668 is a wasteful number, since it uses less digits than its factorization.

580668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 580668 is about 762.0157478688. The cubic root of 580668 is about 83.4275130776.

The spelling of 580668 in words is "five hundred eighty thousand, six hundred sixty-eight".