268807 has 8 divisors (see below), whose sum is σ = 335232. Its totient is φ = 209400.

The previous prime is 268789. The next prime is 268811. The reversal of 268807 is 708862.

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 268807 - 2¹¹ = 266759 is a prime.

It is a Duffinian number.

268807 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1669 + ... + 1822.

It is an arithmetic number, because the mean of its divisors is an integer number (41904).

2²⁶⁸⁸⁰⁷ is an apocalyptic number.

268807 is a deficient number, since it is larger than the sum of its proper divisors (66425).

268807 is a wasteful number, since it uses less digits than its factorization.

268807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509.

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 268807 is about 518.4660066002. The cubic root of 268807 is about 64.5377060544.

The spelling of 268807 in words is "two hundred sixty-eight thousand, eight hundred seven".