687888 has 60 divisors (see below), whose sum is σ = 2045628. Its totient is φ = 215040.

The previous prime is 687847. The next prime is 687893. The reversal of 687888 is 888786.

687888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 501264 + 186624 = 708^2 + 432^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 687888.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2308 + ... + 2588.

2⁶⁸⁷⁸⁸⁸ is an apocalyptic number.

687888 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022814).

687888 is an abundant number, since it is smaller than the sum of its proper divisors (1357740).

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

687888 is a wasteful number, since it uses less digits than its factorization.

687888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 303 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 687888 is about 829.3901373901. The cubic root of 687888 is about 88.2753085959.

The spelling of 687888 in words is "six hundred eighty-seven thousand, eight hundred eighty-eight".