268263 has 12 divisors (see below), whose sum is σ = 397488. Its totient is φ = 174240.

The previous prime is 268253. The next prime is 268267. The reversal of 268263 is 362862.

It is not a de Polignac number, because 268263 - 2⁶ = 268199 is a prime.

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

268263 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268263.

It is not an unprimeable number, because it can be changed into a prime (268267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (33124).

2²⁶⁸²⁶³ is an apocalyptic number.

268263 is a deficient number, since it is larger than the sum of its proper divisors (129225).

268263 is a wasteful number, since it uses less digits than its factorization.

268263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 771 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 268263 is about 517.9411163443. The cubic root of 268263 is about 64.4941404448.

It can be divided in two parts, 2 and 68263, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 268263 in words is "two hundred sixty-eight thousand, two hundred sixty-three".