686160 has 60 divisors (see below), whose sum is σ = 2306772. Its totient is φ = 182784.

The previous prime is 686149. The next prime is 686173. The reversal of 686160 is 61686.

It can be written as a sum of positive squares in 2 ways, for example, as 266256 + 419904 = 516^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

686160 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 11 ways as a sum of consecutive naturals, for example, 244 + ... + 1196.

2⁶⁸⁶¹⁶⁰ is an apocalyptic number.

686160 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 686160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153386).

686160 is an abundant number, since it is smaller than the sum of its proper divisors (1620612).

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

686160 is a wasteful number, since it uses less digits than its factorization.

686160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 686160 is about 828.3477530603. The cubic root of 686160 is about 88.2013296728.

The spelling of 686160 in words is "six hundred eighty-six thousand, one hundred sixty".