268359 has 16 divisors (see below), whose sum is σ = 440832. Its totient is φ = 141408.

The previous prime is 268343. The next prime is 268403. The reversal of 268359 is 953862.

It is a happy number.

It is not a de Polignac number, because 268359 - 2⁴ = 268343 is a prime.

It is a d-powerful number, because it can be written as 2¹⁸ + 6² + 3⁶ + 8⁴ + 5⁴ + 9³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268459) 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 15 ways as a sum of consecutive naturals, for example, 219 + ... + 764.

It is an arithmetic number, because the mean of its divisors is an integer number (27552).

2²⁶⁸³⁵⁹ is an apocalyptic number.

268359 is a deficient number, since it is larger than the sum of its proper divisors (172473).

268359 is a wasteful number, since it uses less digits than its factorization.

268359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006.

The product of its digits is 12960, while the sum is 33.

The square root of 268359 is about 518.0337826822. The cubic root of 268359 is about 64.5018327705.

Adding to 268359 its reverse (953862), we get a palindrome (1222221).

It can be divided in two parts, 26 and 8359, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 268359 in words is "two hundred sixty-eight thousand, three hundred fifty-nine".