268755 has 32 divisors (see below), whose sum is σ = 483840. Its totient is φ = 126720.

The previous prime is 268747. The next prime is 268757. The reversal of 268755 is 557862.

It is a happy number.

268755 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 268755 - 2³ = 268747 is a prime.

It is a d-powerful number, because it can be written as 2¹⁰ + 6² + 7⁴ + 8⁶ + 5² + 5⁵ .

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 31 ways as a sum of consecutive naturals, for example, 6535 + ... + 6575.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

268755 is a Friedman number, since it can be written as 5+86*5^(7-2), using all its digits and the basic arithmetic operations.

2²⁶⁸⁷⁵⁵ is an apocalyptic number.

268755 is a deficient number, since it is larger than the sum of its proper divisors (215085).

268755 is a wasteful number, since it uses less digits than its factorization.

268755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91.

The product of its digits is 16800, while the sum is 33.

The square root of 268755 is about 518.4158562390. The cubic root of 268755 is about 64.5335442368.

The spelling of 268755 in words is "two hundred sixty-eight thousand, seven hundred fifty-five".