268805 has 8 divisors (see below), whose sum is σ = 331512. Its totient is φ = 209088.

The previous prime is 268789. The next prime is 268811. The reversal of 268805 is 508862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 155236 + 113569 = 394^2 + 337^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 268805 - 2⁴ = 268789 is a prime.

It is a super-2 number, since 2×268805² = 144512256050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

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 268805.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (41439).

2²⁶⁸⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

268805 is a deficient number, since it is larger than the sum of its proper divisors (62707).

268805 is a wasteful number, since it uses less digits than its factorization.

268805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495.

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 268805 is about 518.4640778299. The cubic root of 268805 is about 64.5375459944.

The spelling of 268805 in words is "two hundred sixty-eight thousand, eight hundred five".