66168 has 24 divisors (see below), whose sum is σ = 179400. Its totient is φ = 22032.

The previous prime is 66161. The next prime is 66169. The reversal of 66168 is 86166.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66161) by changing a digit.

66168 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 5 ways as a sum of consecutive naturals, for example, 388 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (7475).

2⁶⁶¹⁶⁸ is an apocalyptic number.

It is an amenable number.

66168 is an abundant number, since it is smaller than the sum of its proper divisors (113232).

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

66168 is a wasteful number, since it uses less digits than its factorization.

66168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 924 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 66168 is about 257.2314133227. The cubic root of 66168 is about 40.4466604626.

Adding to 66168 its product of digits (1728), we get a triangular number (67896 = T₃₆₈).

It can be divided in two parts, 661 and 68, that added together give a 6-th power (729 = 3⁶).

The spelling of 66168 in words is "sixty-six thousand, one hundred sixty-eight".