688872 has 16 divisors (see below), whose sum is σ = 1722240. Its totient is φ = 229616.

The previous prime is 688871. The next prime is 688889. The reversal of 688872 is 278886.

It is a self number, because there is not a number n which added to its sum of digits gives 688872.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688872.

It is not an unprimeable number, because it can be changed into a prime (688871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14328 + ... + 14375.

It is an arithmetic number, because the mean of its divisors is an integer number (107640).

2⁶⁸⁸⁸⁷² is an apocalyptic number.

It is an amenable number.

688872 is an abundant number, since it is smaller than the sum of its proper divisors (1033368).

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

688872 is a wasteful number, since it uses less digits than its factorization.

688872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28712 (or 28708 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 688872 is about 829.9831323587. The cubic root of 688872 is about 88.3173801339.

The spelling of 688872 in words is "six hundred eighty-eight thousand, eight hundred seventy-two".