688329 has 6 divisors (see below), whose sum is σ = 994266. Its totient is φ = 458880.

The previous prime is 688309. The next prime is 688333. The reversal of 688329 is 923886.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 328329 = 600^2 + 573^2 .

It is not a de Polignac number, because 688329 - 2⁵ = 688297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 688293 and 688302.

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 688329.

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

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 5 ways as a sum of consecutive naturals, for example, 38232 + ... + 38249.

It is an arithmetic number, because the mean of its divisors is an integer number (165711).

2⁶⁸⁸³²⁹ is an apocalyptic number.

It is an amenable number.

688329 is a deficient number, since it is larger than the sum of its proper divisors (305937).

688329 is a wasteful number, since it uses less digits than its factorization.

688329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76487 (or 76484 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 688329 is about 829.6559527901. The cubic root of 688329 is about 88.2941687858.

The spelling of 688329 in words is "six hundred eighty-eight thousand, three hundred twenty-nine".