687600 has 90 divisors (see below), whose sum is σ = 2398656. Its totient is φ = 182400.

The previous prime is 687593. The next prime is 687623. The reversal of 687600 is 6786.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

687600 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 17 ways as a sum of consecutive naturals, for example, 3505 + ... + 3695.

2⁶⁸⁷⁶⁰⁰ is an apocalyptic number.

687600 is a gapful number since it is divisible by the number (60) 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 687600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199328).

687600 is an abundant number, since it is smaller than the sum of its proper divisors (1711056).

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

687600 is a wasteful number, since it uses less digits than its factorization.

687600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 687600 is about 829.2164976651. The cubic root of 687600 is about 88.2629873858.

Subtracting from 687600 its product of nonzero digits (2016), we obtain a square (685584 = 828²).

The spelling of 687600 in words is "six hundred eighty-seven thousand, six hundred".