688056 has 16 divisors (see below), whose sum is σ = 1720200. Its totient is φ = 229344.

The previous prime is 688031. The next prime is 688063. The reversal of 688056 is 650886.

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 688056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14311 + ... + 14358.

2⁶⁸⁸⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

688056 is an abundant number, since it is smaller than the sum of its proper divisors (1032144).

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

688056 is a wasteful number, since it uses less digits than its factorization.

688056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28678 (or 28674 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 688056 is about 829.4914104438. The cubic root of 688056 is about 88.2824943804.

The spelling of 688056 in words is "six hundred eighty-eight thousand, fifty-six".