688830 has 16 divisors (see below), whose sum is σ = 1653264. Its totient is φ = 183680.

The previous prime is 688813. The next prime is 688861. The reversal of 688830 is 38886.

688830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 688791 and 688800.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688830.

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, 11451 + ... + 11510.

It is an arithmetic number, because the mean of its divisors is an integer number (103329).

2⁶⁸⁸⁸³⁰ is an apocalyptic number.

688830 is an abundant number, since it is smaller than the sum of its proper divisors (964434).

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

688830 is a wasteful number, since it uses less digits than its factorization.

688830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22971.

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 688830 is about 829.9578302540. The cubic root of 688830 is about 88.3155852163.

The spelling of 688830 in words is "six hundred eighty-eight thousand, eight hundred thirty".