688386 has 16 divisors (see below), whose sum is σ = 1421568. Its totient is φ = 222000.

The previous prime is 688379. The next prime is 688393. The reversal of 688386 is 683886.

It is an interprime number because it is at equal distance from previous prime (688379) and next prime (688393).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688386.

It is an unprimeable number.

688386 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1665 + ... + 2036.

It is an arithmetic number, because the mean of its divisors is an integer number (88848).

2⁶⁸⁸³⁸⁶ is an apocalyptic number.

688386 is an abundant number, since it is smaller than the sum of its proper divisors (733182).

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

688386 is a wasteful number, since it uses less digits than its factorization.

688386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737.

The product of its digits is 55296, while the sum is 39.

The square root of 688386 is about 829.6903036676. The cubic root of 688386 is about 88.2966059095.

The spelling of 688386 in words is "six hundred eighty-eight thousand, three hundred eighty-six".