67168 has 12 divisors (see below), whose sum is σ = 132300. Its totient is φ = 33568.

The previous prime is 67157. The next prime is 67169. The reversal of 67168 is 86176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1018 + ... + 1081.

It is an arithmetic number, because the mean of its divisors is an integer number (11025).

2⁶⁷¹⁶⁸ is an apocalyptic number.

It is an amenable number.

67168 is a deficient number, since it is larger than the sum of its proper divisors (65132).

67168 is a wasteful number, since it uses less digits than its factorization.

67168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2101 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 67168 is about 259.1678992468. The cubic root of 67168 is about 40.6493999378.

It can be divided in two parts, 6716 and 8, that added together give a square (6724 = 82²).

The spelling of 67168 in words is "sixty-seven thousand, one hundred sixty-eight".