268686 has 48 divisors (see below), whose sum is σ = 673920. Its totient is φ = 76560.

The previous prime is 268661. The next prime is 268693. The reversal of 268686 is 686862.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 268686.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4525 + ... + 4583.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2²⁶⁸⁶⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336960).

268686 is an abundant number, since it is smaller than the sum of its proper divisors (405234).

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

268686 is a wasteful number, since it uses less digits than its factorization.

268686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 98 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 268686 is about 518.3493030766. The cubic root of 268686 is about 64.5280209960.

It can be divided in two parts, 2686 and 86, that added together give a palindrome (2772).

The spelling of 268686 in words is "two hundred sixty-eight thousand, six hundred eighty-six".