688832 has 28 divisors (see below), whose sum is σ = 1402080. Its totient is φ = 335616.

The previous prime is 688813. The next prime is 688861. The reversal of 688832 is 238886.

It is an Ulam number.

Its product of digits (18432) is a multiple of the sum of its prime factors (288).

It is a junction number, because it is equal to n+sod(n) for n = 688792 and 688801.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688832.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2894 + ... + 3122.

2⁶⁸⁸⁸³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701040).

688832 is an abundant number, since it is smaller than the sum of its proper divisors (713248).

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

688832 is a wasteful number, since it uses less digits than its factorization.

688832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 688832 is about 829.9590351337. The cubic root of 688832 is about 88.3156706903.

The spelling of 688832 in words is "six hundred eighty-eight thousand, eight hundred thirty-two".