268906 has 16 divisors (see below), whose sum is σ = 466560. Its totient is φ = 114880.

The previous prime is 268897. The next prime is 268909. The reversal of 268906 is 609862.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (268909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15 + ... + 733.

It is an arithmetic number, because the mean of its divisors is an integer number (29160).

2²⁶⁸⁹⁰⁶ is an apocalyptic number.

268906 is a deficient number, since it is larger than the sum of its proper divisors (197654).

268906 is a wasteful number, since it uses less digits than its factorization.

268906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 268906 is about 518.5614717659. The cubic root of 268906 is about 64.5456280315.

It can be divided in two parts, 26890 and 6, that added together give a square (26896 = 164²).

The spelling of 268906 in words is "two hundred sixty-eight thousand, nine hundred six".