688838 has 8 divisors (see below), whose sum is σ = 1040088. Its totient is φ = 342144.

The previous prime is 688813. The next prime is 688861. The reversal of 688838 is 838886.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 688795 and 688804.

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 688838.

It is an unprimeable number.

688838 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 731 + ... + 1382.

It is an arithmetic number, because the mean of its divisors is an integer number (130011).

2⁶⁸⁸⁸³⁸ is an apocalyptic number.

688838 is a deficient number, since it is larger than the sum of its proper divisors (351250).

688838 is a wasteful number, since it uses less digits than its factorization.

688838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278.

The product of its digits is 73728, while the sum is 41.

The square root of 688838 is about 829.9626497620. The cubic root of 688838 is about 88.3159271110.

It can be divided in two parts, 6 and 88838, that multiplied together give a triangular number (533028 = T₁₀₃₂).

The spelling of 688838 in words is "six hundred eighty-eight thousand, eight hundred thirty-eight".