687408 has 20 divisors (see below), whose sum is σ = 1775928. Its totient is φ = 229120.

The previous prime is 687403. The next prime is 687413. The reversal of 687408 is 804786.

687408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (687403) and next prime (687413).

It is not an unprimeable number, because it can be changed into a prime (687403) by changing a digit.

687408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7113 + ... + 7208.

2⁶⁸⁷⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

687408 is an abundant number, since it is smaller than the sum of its proper divisors (1088520).

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

687408 is a wasteful number, since it uses less digits than its factorization.

687408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14332 (or 14326 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 687408 is about 829.1007176453. The cubic root of 687408 is about 88.2547713342.

The spelling of 687408 in words is "six hundred eighty-seven thousand, four hundred eight".