268086 has 32 divisors (see below), whose sum is σ = 661248. Its totient is φ = 70560.

The previous prime is 268069. The next prime is 268091. The reversal of 268086 is 680862.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

268086 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, 301 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (20664).

2²⁶⁸⁰⁸⁶ is an apocalyptic number.

268086 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 268086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330624).

268086 is an abundant number, since it is smaller than the sum of its proper divisors (393162).

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

268086 is a wasteful number, since it uses less digits than its factorization.

268086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 268086 is about 517.7702193058. The cubic root of 268086 is about 64.4799529069.

The spelling of 268086 in words is "two hundred sixty-eight thousand, eighty-six".