680589 has 32 divisors (see below), whose sum is σ = 1245440. Its totient is φ = 357696.

The previous prime is 680587. The next prime is 680597. The reversal of 680589 is 985086.

It is not a de Polignac number, because 680589 - 2¹ = 680587 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2319 + ... + 2595.

It is an arithmetic number, because the mean of its divisors is an integer number (38920).

2⁶⁸⁰⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

680589 is a deficient number, since it is larger than the sum of its proper divisors (564851).

680589 is a wasteful number, since it uses less digits than its factorization.

680589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

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

The square root of 680589 is about 824.9781815297. The cubic root of 680589 is about 87.9619756521.

Adding to 680589 its sum of digits (36), we get a square (680625 = 825²).

The spelling of 680589 in words is "six hundred eighty thousand, five hundred eighty-nine".