688585 has 8 divisors (see below), whose sum is σ = 875016. Its totient is φ = 518400.

The previous prime is 688573. The next prime is 688591. The reversal of 688585 is 585886.

It can be written as a sum of positive squares in 4 ways, for example, as 389376 + 299209 = 624^2 + 547^2 .

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

It is not a de Polignac number, because 688585 - 2⁹ = 688073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3966 + ... + 4135.

It is an arithmetic number, because the mean of its divisors is an integer number (109377).

2⁶⁸⁸⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

688585 is a deficient number, since it is larger than the sum of its proper divisors (186431).

688585 is a wasteful number, since it uses less digits than its factorization.

688585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8123.

The product of its digits is 76800, while the sum is 40.

The square root of 688585 is about 829.8102192670. The cubic root of 688585 is about 88.3051134095.

It can be divided in two parts, 6885 and 85, that multiplied together give a square (585225 = 765²).

The spelling of 688585 in words is "six hundred eighty-eight thousand, five hundred eighty-five".