67068 has 42 divisors (see below), whose sum is σ = 183624. Its totient is φ = 21384.

The previous prime is 67061. The next prime is 67073. The reversal of 67068 is 86076.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67061) by changing a digit.

67068 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2905 + ... + 2927.

It is an arithmetic number, because the mean of its divisors is an integer number (4372).

2⁶⁷⁰⁶⁸ 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 67068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91812).

67068 is an abundant number, since it is smaller than the sum of its proper divisors (116556).

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

67068 is a wasteful number, since it uses less digits than its factorization.

67068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 67068 is about 258.9749022589. The cubic root of 67068 is about 40.6292169193.

The spelling of 67068 in words is "sixty-seven thousand, sixty-eight".