688389 has 16 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 400896.

The previous prime is 688379. The next prime is 688393. The reversal of 688389 is 983886.

It is not a de Polignac number, because 688389 - 2⁵ = 688357 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 688389.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277 + ... + 1205.

It is an arithmetic number, because the mean of its divisors is an integer number (65100).

2⁶⁸⁸³⁸⁹ is an apocalyptic number.

It is an amenable number.

688389 is a deficient number, since it is larger than the sum of its proper divisors (353211).

688389 is a wasteful number, since it uses less digits than its factorization.

688389 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964.

The product of its digits is 82944, while the sum is 42.

The square root of 688389 is about 829.6921115691. The cubic root of 688389 is about 88.2967341754.

The spelling of 688389 in words is "six hundred eighty-eight thousand, three hundred eighty-nine".