686960 has 40 divisors (see below), whose sum is σ = 1654656. Its totient is φ = 264960.

The previous prime is 686947. The next prime is 686963. The reversal of 686960 is 69686.

686960 = T₈₉ + T₉₀ + ... + T₁₆₈.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 686960.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 686960.

It is not an unprimeable number, because it can be changed into a prime (686963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2342 + ... + 2618.

2⁶⁸⁶⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827328).

686960 is an abundant number, since it is smaller than the sum of its proper divisors (967696).

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

686960 is a wasteful number, since it uses less digits than its factorization.

686960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 686960 is about 828.8305013692. The cubic root of 686960 is about 88.2355945959.

The spelling of 686960 in words is "six hundred eighty-six thousand, nine hundred sixty".