688368 has 20 divisors (see below), whose sum is σ = 1778408. Its totient is φ = 229440.

The previous prime is 688357. The next prime is 688379. The reversal of 688368 is 863886.

It is an interprime number because it is at equal distance from previous prime (688357) and next prime (688379).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

688368 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7123 + ... + 7218.

2⁶⁸⁸³⁶⁸ is an apocalyptic number.

It is an amenable number.

688368 is an abundant number, since it is smaller than the sum of its proper divisors (1090040).

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

688368 is a wasteful number, since it uses less digits than its factorization.

688368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14352 (or 14346 counting only the distinct ones).

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

The square root of 688368 is about 829.6794561757. The cubic root of 688368 is about 88.2958363060.

The spelling of 688368 in words is "six hundred eighty-eight thousand, three hundred sixty-eight".