268209 has 12 divisors (see below), whose sum is σ = 410436. Its totient is φ = 168192.

The previous prime is 268207. The next prime is 268211. The reversal of 268209 is 902862.

It is an interprime number because it is at equal distance from previous prime (268207) and next prime (268211).

It can be written as a sum of positive squares in 2 ways, for example, as 91809 + 176400 = 303^2 + 420^2 .

It is not a de Polignac number, because 268209 - 2¹ = 268207 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 2¹⁰ + 6³ + 2¹⁸ + 8⁴ + 0 + 9³ .

It is not an unprimeable number, because it can be changed into a prime (268207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 724 + ... + 1029.

It is an arithmetic number, because the mean of its divisors is an integer number (34203).

2²⁶⁸²⁰⁹ is an apocalyptic number.

It is an amenable number.

268209 is a deficient number, since it is larger than the sum of its proper divisors (142227).

268209 is a wasteful number, since it uses less digits than its factorization.

268209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 268209 is about 517.8889842428. Note that the first 3 decimals coincide. The cubic root of 268209 is about 64.4898127051.

The spelling of 268209 in words is "two hundred sixty-eight thousand, two hundred nine".