4116168 has 48 divisors (see below), whose sum is σ = 12742080. Its totient is φ = 1175904.

The previous prime is 4116163. The next prime is 4116169. The reversal of 4116168 is 8616114.

4116168 = T₇₇ + T₇₈ + ... + T₂₉₂.

4116168 is a `hidden beast` number, since 41 + 1 + 616 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4116163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3580 + ... + 4587.

It is an arithmetic number, because the mean of its divisors is an integer number (265460).

Almost surely, 2^4116168 is an apocalyptic number.

It is an amenable number.

4116168 is an abundant number, since it is smaller than the sum of its proper divisors (8625912).

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

4116168 is a wasteful number, since it uses less digits than its factorization.

4116168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8186 (or 8179 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 4116168 is about 2028.8341479776. The cubic root of 4116168 is about 160.2621743359.

The spelling of 4116168 in words is "four million, one hundred sixteen thousand, one hundred sixty-eight".