686256 has 60 divisors (see below), whose sum is σ = 1944072. Its totient is φ = 207872.

The previous prime is 686209. The next prime is 686267. The reversal of 686256 is 652686.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 686256.

It is an unprimeable number.

686256 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, 23650 + ... + 23678.

2⁶⁸⁶²⁵⁶ 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 686256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972036).

686256 is an abundant number, since it is smaller than the sum of its proper divisors (1257816).

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

686256 is a wasteful number, since it uses less digits than its factorization.

686256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 686256 is about 828.4056977110. The cubic root of 686256 is about 88.2054428694.

It can be divided in two parts, 686 and 256, that multiplied together give a cube (175616 = 56³).

The spelling of 686256 in words is "six hundred eighty-six thousand, two hundred fifty-six".