268385 has 8 divisors (see below), whose sum is σ = 346920. Its totient is φ = 198144.

The previous prime is 268343. The next prime is 268403. The reversal of 268385 is 583862.

It can be written as a sum of positive squares in 4 ways, for example, as 6241 + 262144 = 79^2 + 512^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 268385 - 2¹² = 264289 is a prime.

It is a Curzon number.

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2000 + ... + 2129.

It is an arithmetic number, because the mean of its divisors is an integer number (43365).

2²⁶⁸³⁸⁵ is an apocalyptic number.

It is an amenable number.

268385 is a deficient number, since it is larger than the sum of its proper divisors (78535).

268385 is a wasteful number, since it uses less digits than its factorization.

268385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147.

The product of its digits is 11520, while the sum is 32.

The square root of 268385 is about 518.0588769628. The cubic root of 268385 is about 64.5039157930.

The spelling of 268385 in words is "two hundred sixty-eight thousand, three hundred eighty-five".