8268 has 24 divisors (see below), whose sum is σ = 21168. Its totient is φ = 2496.

The previous prime is 8263. The next prime is 8269. The reversal of 8268 is 8628.

It is not an unprimeable number, because it can be changed into a prime (8263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130 + ... + 182.

It is an arithmetic number, because the mean of its divisors is an integer number (882).

2⁸²⁶⁸ 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 8268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584).

8268 is an abundant number, since it is smaller than the sum of its proper divisors (12900).

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

8268 is a wasteful number, since it uses less digits than its factorization.

8268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 71 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 8268 is about 90.9285433734. The cubic root of 8268 is about 20.2208848467.

It can be divided in two parts, 8 and 268, that added together give a triangular number (276 = T₂₃).

The spelling of 8268 in words is "eight thousand, two hundred sixty-eight".