687080 has 32 divisors (see below), whose sum is σ = 1571400. Its totient is φ = 270336.

The previous prime is 687073. The next prime is 687083. The reversal of 687080 is 80786.

It can be written as a sum of positive squares in 4 ways, for example, as 357604 + 329476 = 598^2 + 574^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (687083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3464 + ... + 3656.

2⁶⁸⁷⁰⁸⁰ 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 687080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785700).

687080 is an abundant number, since it is smaller than the sum of its proper divisors (884320).

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

687080 is a wasteful number, since it uses less digits than its factorization.

687080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

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

The square root of 687080 is about 828.9028893664. The cubic root of 687080 is about 88.2407320396.

The spelling of 687080 in words is "six hundred eighty-seven thousand, eighty".