268305 has 16 divisors (see below), whose sum is σ = 443904. Its totient is φ = 138240.

The previous prime is 268297. The next prime is 268343. The reversal of 268305 is 503862.

It is not a de Polignac number, because 268305 - 2³ = 268297 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177 + ... + 753.

It is an arithmetic number, because the mean of its divisors is an integer number (27744).

2²⁶⁸³⁰⁵ is an apocalyptic number.

It is an amenable number.

268305 is a deficient number, since it is larger than the sum of its proper divisors (175599).

268305 is a wasteful number, since it uses less digits than its factorization.

268305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 268305 is about 517.9816599070. The cubic root of 268305 is about 64.4975060631.

Adding to 268305 its product of nonzero digits (1440), we get a triangular number (269745 = T₇₃₄).

The spelling of 268305 in words is "two hundred sixty-eight thousand, three hundred five".