687660 has 48 divisors (see below), whose sum is σ = 1964256. Its totient is φ = 179712.

The previous prime is 687647. The next prime is 687679. The reversal of 687660 is 66786.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4302 + ... + 4458.

It is an arithmetic number, because the mean of its divisors is an integer number (40922).

2⁶⁸⁷⁶⁶⁰ is an apocalyptic number.

687660 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 687660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982128).

687660 is an abundant number, since it is smaller than the sum of its proper divisors (1276596).

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

687660 is a wasteful number, since it uses less digits than its factorization.

687660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 687660 is about 829.2526756062. The cubic root of 687660 is about 88.2655545882.

The spelling of 687660 in words is "six hundred eighty-seven thousand, six hundred sixty".