268388 has 12 divisors (see below), whose sum is σ = 473340. Its totient is φ = 133152.

The previous prime is 268343. The next prime is 268403. The reversal of 268388 is 883862.

It can be written as a sum of positive squares in 2 ways, for example, as 252004 + 16384 = 502^2 + 128^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268388.

It is an unprimeable number.

268388 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 770 + ... + 1062.

It is an arithmetic number, because the mean of its divisors is an integer number (39445).

268388 is a Friedman number, since it can be written as 8*8+(8^3+6)^2, using all its digits and the basic arithmetic operations.

2²⁶⁸³⁸⁸ is an apocalyptic number.

It is an amenable number.

268388 is a deficient number, since it is larger than the sum of its proper divisors (204952).

268388 is a wasteful number, since it uses less digits than its factorization.

268388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 268388 is about 518.0617723785. The cubic root of 268388 is about 64.5041561330.

It can be divided in two parts, 268 and 388, that added together give a palindrome (656).

The spelling of 268388 in words is "two hundred sixty-eight thousand, three hundred eighty-eight".