688589 has 8 divisors (see below), whose sum is σ = 764640. Its totient is φ = 614800.

The previous prime is 688573. The next prime is 688591. The reversal of 688589 is 985886.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 688589 - 2⁴ = 688573 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119 + ... + 1179.

It is an arithmetic number, because the mean of its divisors is an integer number (95580).

2⁶⁸⁸⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

688589 is a deficient number, since it is larger than the sum of its proper divisors (76051).

688589 is a wasteful number, since it uses less digits than its factorization.

688589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131.

The product of its digits is 138240, while the sum is 44.

The square root of 688589 is about 829.8126294532. The cubic root of 688589 is about 88.3052843977.

The spelling of 688589 in words is "six hundred eighty-eight thousand, five hundred eighty-nine".