268312 has 16 divisors (see below), whose sum is σ = 549000. Its totient is φ = 121920.

The previous prime is 268297. The next prime is 268343. The reversal of 268312 is 213862.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

268312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1437 + ... + 1612.

268312 is a Friedman number, since it can be written as (8^3+6)^2-12, using all its digits and the basic arithmetic operations.

2²⁶⁸³¹² is an apocalyptic number.

268312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

268312 is an abundant number, since it is smaller than the sum of its proper divisors (280688).

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

268312 is a wasteful number, since it uses less digits than its factorization.

268312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3062 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 268312 is about 517.9884168589. The cubic root of 268312 is about 64.4980669653.

It can be divided in two parts, 26 and 8312, that added together give a palindrome (8338).

The spelling of 268312 in words is "two hundred sixty-eight thousand, three hundred twelve".