687008 has 24 divisors (see below), whose sum is σ = 1546272. Its totient is φ = 294336.

The previous prime is 687007. The next prime is 687013. The reversal of 687008 is 800786.

687008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1310 + ... + 1757.

It is an arithmetic number, because the mean of its divisors is an integer number (64428).

2⁶⁸⁷⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

687008 is an abundant number, since it is smaller than the sum of its proper divisors (859264).

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

687008 is a wasteful number, since it uses less digits than its factorization.

687008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3084 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 687008 is about 828.8594573268. The cubic root of 687008 is about 88.2376496452.

The spelling of 687008 in words is "six hundred eighty-seven thousand, eight".