688208 has 10 divisors (see below), whose sum is σ = 1333434. Its totient is φ = 344096.

The previous prime is 688201. The next prime is 688217. The reversal of 688208 is 802886.

It can be written as a sum of positive squares in only one way, i.e., 652864 + 35344 = 808^2 + 188^2 .

It is a zygodrome in base 4.

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 688208.

It is not an unprimeable number, because it can be changed into a prime (688201) by changing a digit.

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 as a sum of consecutive naturals, namely, 21491 + ... + 21522.

2⁶⁸⁸²⁰⁸ is an apocalyptic number.

It is an amenable number.

688208 is a deficient number, since it is larger than the sum of its proper divisors (645226).

688208 is a wasteful number, since it uses less digits than its factorization.

688208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43021 (or 43015 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 688208 is about 829.5830277917. The cubic root of 688208 is about 88.2889947966.

The spelling of 688208 in words is "six hundred eighty-eight thousand, two hundred eight".