268389 has 12 divisors (see below), whose sum is σ = 423072. Its totient is φ = 162600.

The previous prime is 268343. The next prime is 268403. The reversal of 268389 is 983862.

It is not a de Polignac number, because 268389 - 2⁸ = 268133 is a prime.

It is a Curzon number.

268389 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268189) 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 11 ways as a sum of consecutive naturals, for example, 1257 + ... + 1454.

It is an arithmetic number, because the mean of its divisors is an integer number (35256).

2²⁶⁸³⁸⁹ is an apocalyptic number.

It is an amenable number.

268389 is a deficient number, since it is larger than the sum of its proper divisors (154683).

268389 is a wasteful number, since it uses less digits than its factorization.

268389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2725 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 268389 is about 518.0627375135. The cubic root of 268389 is about 64.5042362460.

It can be divided in two parts, 2683 and 89, that added together give a palindrome (2772).

The spelling of 268389 in words is "two hundred sixty-eight thousand, three hundred eighty-nine".