41168 has 20 divisors (see below), whose sum is σ = 83328. Its totient is φ = 19680.

The previous prime is 41161. The next prime is 41177. The reversal of 41168 is 86114.

41168 is an admirable number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41161) by changing a digit.

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, 455 + ... + 537.

2⁴¹¹⁶⁸ 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 41168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664).

41168 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

41168 is a wasteful number, since it uses less digits than its factorization.

41168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 41168 is about 202.8989896476. The cubic root of 41168 is about 34.5292058228.

The spelling of 41168 in words is "forty-one thousand, one hundred sixty-eight".