• 268 can be written using four 4's:

See also 113.

---

268 has 6 divisors (see below), whose sum is σ = 476. Its totient is φ = 132.

The previous prime is 263. The next prime is 269. The reversal of 268 is 862.

268 is nontrivially palindromic in base 8.

268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

268 is an undulating number in base 8.

It is a plaindrome in base 6, base 10, base 11, base 13 and base 15.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (263) by changing a digit.

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

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30 + ... + 37.

It is an amenable number.

268 is a deficient number, since it is larger than the sum of its proper divisors (208).

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

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

The sum of its prime factors is 71 (or 69 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 268 is about 16.3707055437. The cubic root of 268 is about 6.4473057273.

Subtracting from 268 its sum of digits (16), we obtain a palindrome (252).

It can be divided in two parts, 2 and 68, that multiplied together give a triangular number (136 = T₁₆).

The spelling of 268 in words is "two hundred sixty-eight", and thus it is an aban number.