268758 has 48 divisors (see below), whose sum is σ = 698880. Its totient is φ = 75816.

The previous prime is 268757. The next prime is 268759. The reversal of 268758 is 857862.

It is an interprime number because it is at equal distance from previous prime (268757) and next prime (268759).

It is a zygodrome in base 3.

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 268758.

It is not an unprimeable number, because it can be changed into a prime (268757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3363 + ... + 3441.

It is an arithmetic number, because the mean of its divisors is an integer number (14560).

268758 is a Friedman number, since it can be written as 8+86*5^(7-2), using all its digits and the basic arithmetic operations.

2²⁶⁸⁷⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349440).

268758 is an abundant number, since it is smaller than the sum of its proper divisors (430122).

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

268758 is an equidigital number, since it uses as much as digits as its factorization.

268758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 91 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 268758 is about 518.4187496609. The cubic root of 268758 is about 64.5337843562.

The spelling of 268758 in words is "two hundred sixty-eight thousand, seven hundred fifty-eight".