688038 has 16 divisors (see below), whose sum is σ = 1482096. Its totient is φ = 211680.

The previous prime is 688031. The next prime is 688063. The reversal of 688038 is 830886.

It is a Curzon number.

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 688038.

It is not an unprimeable number, because it can be changed into a prime (688031) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4333 + ... + 4488.

It is an arithmetic number, because the mean of its divisors is an integer number (92631).

2⁶⁸⁸⁰³⁸ is an apocalyptic number.

688038 is an abundant number, since it is smaller than the sum of its proper divisors (794058).

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

688038 is a wasteful number, since it uses less digits than its factorization.

688038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8839.

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

The square root of 688038 is about 829.4805603509. The cubic root of 688038 is about 88.2817245308.

The spelling of 688038 in words is "six hundred eighty-eight thousand, thirty-eight".