268668 has 36 divisors (see below), whose sum is σ = 720720. Its totient is φ = 84096.

The previous prime is 268661. The next prime is 268693. The reversal of 268668 is 866862.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268661) by changing a digit.

268668 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 11 ways as a sum of consecutive naturals, for example, 393 + ... + 831.

It is an arithmetic number, because the mean of its divisors is an integer number (20020).

2²⁶⁸⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360360).

268668 is an abundant number, since it is smaller than the sum of its proper divisors (452052).

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

268668 is a wasteful number, since it uses less digits than its factorization.

268668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 461 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 268668 is about 518.3319399767. The cubic root of 268668 is about 64.5265799951.

The spelling of 268668 in words is "two hundred sixty-eight thousand, six hundred sixty-eight".