687360 has 72 divisors (see below), whose sum is σ = 2207520. Its totient is φ = 182272.

The previous prime is 687359. The next prime is 687383. The reversal of 687360 is 63786.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3751 + ... + 3929.

It is an arithmetic number, because the mean of its divisors is an integer number (30660).

2⁶⁸⁷³⁶⁰ is an apocalyptic number.

687360 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 687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103760).

687360 is an abundant number, since it is smaller than the sum of its proper divisors (1520160).

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

687360 is a wasteful number, since it uses less digits than its factorization.

687360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 687360 is about 829.0717701140. The cubic root of 687360 is about 88.2527170823.

The spelling of 687360 in words is "six hundred eighty-seven thousand, three hundred sixty".