687700 has 54 divisors (see below), whose sum is σ = 1680014. Its totient is φ = 242880.

The previous prime is 687691. The next prime is 687707. The reversal of 687700 is 7786.

It can be written as a sum of positive squares in 3 ways, for example, as 2116 + 685584 = 46^2 + 828^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29889 + ... + 29911.

2⁶⁸⁷⁷⁰⁰ 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 687700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840007).

687700 is an abundant number, since it is smaller than the sum of its proper divisors (992314).

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

687700 is a wasteful number, since it uses less digits than its factorization.

687700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 687700 is about 829.2767933567. The cubic root of 687700 is about 88.2672659736.

The spelling of 687700 in words is "six hundred eighty-seven thousand, seven hundred".