268065 has 48 divisors (see below), whose sum is σ = 569088. Its totient is φ = 114048.

The previous prime is 268063. The next prime is 268069. The reversal of 268065 is 560862.

268065 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 268065 - 2¹ = 268063 is a prime.

268065 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268065.

It is not an unprimeable number, because it can be changed into a prime (268063) 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 47 ways as a sum of consecutive naturals, for example, 7227 + ... + 7263.

It is an arithmetic number, because the mean of its divisors is an integer number (11856).

2²⁶⁸⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

268065 is an abundant number, since it is smaller than the sum of its proper divisors (301023).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

268065 is a wasteful number, since it uses less digits than its factorization.

268065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 268065 is about 517.7499396427. The cubic root of 268065 is about 64.4782692254.

The spelling of 268065 in words is "two hundred sixty-eight thousand, sixty-five".