688580 has 12 divisors (see below), whose sum is σ = 1446060. Its totient is φ = 275424.

The previous prime is 688573. The next prime is 688591. The reversal of 688580 is 85886.

It can be written as a sum of positive squares in 2 ways, for example, as 173056 + 515524 = 416^2 + 718^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 688580.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688580.

It is an unprimeable number.

688580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17195 + ... + 17234.

It is an arithmetic number, because the mean of its divisors is an integer number (120505).

2⁶⁸⁸⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

688580 is an abundant number, since it is smaller than the sum of its proper divisors (757480).

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

688580 is a wasteful number, since it uses less digits than its factorization.

688580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34438 (or 34436 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 688580 is about 829.8072065245. The cubic root of 688580 is about 88.3048996733.

The spelling of 688580 in words is "six hundred eighty-eight thousand, five hundred eighty".