268005 has 16 divisors (see below), whose sum is σ = 454464. Its totient is φ = 134400.

The previous prime is 268003. The next prime is 268013. The reversal of 268005 is 500862.

268005 = T₁₆₉ + T₁₇₀ + ... + T₁₈₅.

It is a happy number.

It is not a de Polignac number, because 268005 - 2¹ = 268003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271 + ... + 780.

It is an arithmetic number, because the mean of its divisors is an integer number (28404).

2²⁶⁸⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

268005 is a deficient number, since it is larger than the sum of its proper divisors (186459).

268005 is a wasteful number, since it uses less digits than its factorization.

268005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 268005 is about 517.6919933706. The cubic root of 268005 is about 64.4734582220.

Adding to 268005 its reverse (500862), we get a palindrome (768867).

The spelling of 268005 in words is "two hundred sixty-eight thousand, five".