67008 has 28 divisors (see below), whose sum is σ = 177800. Its totient is φ = 22272.

The previous prime is 67003. The next prime is 67021. The reversal of 67008 is 80076.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67003) by changing a digit.

67008 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, 18 + ... + 366.

It is an arithmetic number, because the mean of its divisors is an integer number (6350).

2⁶⁷⁰⁰⁸ 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 67008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88900).

67008 is an abundant number, since it is smaller than the sum of its proper divisors (110792).

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

67008 is a wasteful number, since it uses less digits than its factorization.

67008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 67008 is about 258.8590349978. The cubic root of 67008 is about 40.6170974767.

The spelling of 67008 in words is "sixty-seven thousand, eight".