688367 has 6 divisors (see below), whose sum is σ = 722472. Its totient is φ = 654632.

The previous prime is 688357. The next prime is 688379. The reversal of 688367 is 763886.

688367 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 688367 - 2⁸ = 688111 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 688367.

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 688367.

It is not an unprimeable number, because it can be changed into a prime (688357) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3893 + ... + 4065.

It is an arithmetic number, because the mean of its divisors is an integer number (120412).

2⁶⁸⁸³⁶⁷ is an apocalyptic number.

688367 is a deficient number, since it is larger than the sum of its proper divisors (34105).

688367 is an equidigital number, since it uses as much as digits as its factorization.

688367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 196 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 688367 is about 829.6788535331. The cubic root of 688367 is about 88.2957935499.

The spelling of 688367 in words is "six hundred eighty-eight thousand, three hundred sixty-seven".