688008 has 32 divisors (see below), whose sum is σ = 1742400. Its totient is φ = 226368.

The previous prime is 688003. The next prime is 688013. The reversal of 688008 is 800886.

It is an interprime number because it is at equal distance from previous prime (688003) and next prime (688013).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 688008.

It is not an unprimeable number, because it can be changed into a prime (688003) by changing a digit.

688008 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2485 + ... + 2747.

It is an arithmetic number, because the mean of its divisors is an integer number (54450).

2⁶⁸⁸⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

688008 is an abundant number, since it is smaller than the sum of its proper divisors (1054392).

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

688008 is a wasteful number, since it uses less digits than its factorization.

688008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 688008 is about 829.4624765473. The cubic root of 688008 is about 88.2804414184.

The spelling of 688008 in words is "six hundred eighty-eight thousand, eight".