688520 has 32 divisors (see below), whose sum is σ = 1771200. Its totient is φ = 235968.

The previous prime is 688511. The next prime is 688531. The reversal of 688520 is 25886.

It is a happy number.

It is an unprimeable number.

688520 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 7 ways as a sum of consecutive naturals, for example, 950 + ... + 1509.

It is an arithmetic number, because the mean of its divisors is an integer number (55350).

2⁶⁸⁸⁵²⁰ is an apocalyptic number.

It is an amenable number.

688520 is an abundant number, since it is smaller than the sum of its proper divisors (1082680).

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

688520 is a wasteful number, since it uses less digits than its factorization.

688520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 688520 is about 829.7710527609. The cubic root of 688520 is about 88.3023347581.

The spelling of 688520 in words is "six hundred eighty-eight thousand, five hundred twenty".