67668 has 12 divisors (see below), whose sum is σ = 157920. Its totient is φ = 22552.

The previous prime is 67651. The next prime is 67679. The reversal of 67668 is 86676.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an unprimeable number.

67668 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2808 + ... + 2831.

It is an arithmetic number, because the mean of its divisors is an integer number (13160).

2⁶⁷⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

67668 is an abundant number, since it is smaller than the sum of its proper divisors (90252).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78960).

67668 is a wasteful number, since it uses less digits than its factorization.

67668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5646 (or 5644 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 67668 is about 260.1307363615. The cubic root of 67668 is about 40.7500156824.

The spelling of 67668 in words is "sixty-seven thousand, six hundred sixty-eight".