687608 has 32 divisors (see below), whose sum is σ = 1395360. Its totient is φ = 316800.

The previous prime is 687593. The next prime is 687623. The reversal of 687608 is 806786.

It is an interprime number because it is at equal distance from previous prime (687593) and next prime (687623).

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 687608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6758 + ... + 6858.

It is an arithmetic number, because the mean of its divisors is an integer number (43605).

2⁶⁸⁷⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

687608 is an abundant number, since it is smaller than the sum of its proper divisors (707752).

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

687608 is a wasteful number, since it uses less digits than its factorization.

687608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 687608 is about 829.2213214818. The cubic root of 687608 is about 88.2633296881.

The spelling of 687608 in words is "six hundred eighty-seven thousand, six hundred eight".