686760 has 64 divisors (see below), whose sum is σ = 2116800. Its totient is φ = 178176.

The previous prime is 686737. The next prime is 686761. The reversal of 686760 is 67686.

686760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (686761) by changing a digit.

686760 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 15 ways as a sum of consecutive naturals, for example, 7032 + ... + 7128.

It is an arithmetic number, because the mean of its divisors is an integer number (33075).

2⁶⁸⁶⁷⁶⁰ is an apocalyptic number.

686760 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 686760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058400).

686760 is an abundant number, since it is smaller than the sum of its proper divisors (1430040).

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

686760 is a wasteful number, since it uses less digits than its factorization.

686760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

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

The square root of 686760 is about 828.7098406559. The cubic root of 686760 is about 88.2270308602.

The spelling of 686760 in words is "six hundred eighty-six thousand, seven hundred sixty".