67268 has 12 divisors (see below), whose sum is σ = 119952. Its totient is φ = 33000.

The previous prime is 67261. The next prime is 67271. The reversal of 67268 is 86276.

It is a self number, because there is not a number n which added to its sum of digits gives 67268.

It is not an unprimeable number, because it can be changed into a prime (67261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (9996).

2⁶⁷²⁶⁸ is an apocalyptic number.

It is an amenable number.

67268 is a deficient number, since it is larger than the sum of its proper divisors (52684).

67268 is a wasteful number, since it uses less digits than its factorization.

67268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 320 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 67268 is about 259.3607526207. The cubic root of 67268 is about 40.6695629339.

Subtracting from 67268 its product of digits (4032), we obtain a palindrome (63236).

It can be divided in two parts, 67 and 268, that multiplied together give a square (17956 = 134²).

The spelling of 67268 in words is "sixty-seven thousand, two hundred sixty-eight".