687876 has 48 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 185760.

The previous prime is 687847. The next prime is 687893. The reversal of 687876 is 678786.

687876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1381 + ... + 1811.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁶⁸⁷⁸⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

687876 is an abundant number, since it is smaller than the sum of its proper divisors (1247484).

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

687876 is a wasteful number, since it uses less digits than its factorization.

687876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 462 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 687876 is about 829.3829031274. The cubic root of 687876 is about 88.2747952808.

The spelling of 687876 in words is "six hundred eighty-seven thousand, eight hundred seventy-six".