4164168 has 64 divisors (see below), whose sum is σ = 11174400. Its totient is φ = 1290240.

The previous prime is 4164131. The next prime is 4164179. The reversal of 4164168 is 8614614.

4164168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21480 + ... + 21672.

It is an arithmetic number, because the mean of its divisors is an integer number (174600).

Almost surely, 2^4164168 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 4164168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587200).

4164168 is an abundant number, since it is smaller than the sum of its proper divisors (7010232).

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

4164168 is a wasteful number, since it uses less digits than its factorization.

4164168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 4164168 is about 2040.6293146968. The cubic root of 4164168 is about 160.8827251872.

The spelling of 4164168 in words is "four million, one hundred sixty-four thousand, one hundred sixty-eight".