580968 has 24 divisors (see below), whose sum is σ = 1573650. Its totient is φ = 193632.

The previous prime is 580939. The next prime is 580969. The reversal of 580968 is 869085.

580968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 580644 + 324 = 762^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (580969) by changing a digit.

580968 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 5 ways as a sum of consecutive naturals, for example, 3963 + ... + 4106.

2⁵⁸⁰⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

580968 is an abundant number, since it is smaller than the sum of its proper divisors (992682).

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

580968 is a wasteful number, since it uses less digits than its factorization.

580968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8081 (or 8074 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 580968 is about 762.2125687759. The cubic root of 580968 is about 83.4418781105.

The spelling of 580968 in words is "five hundred eighty thousand, nine hundred sixty-eight".