41682168 has 128 divisors (see below), whose sum is σ = 129081600. Its totient is φ = 12355200.

The previous prime is 41682167. The next prime is 41682203. The reversal of 41682168 is 86128614.

41682168 is a `hidden beast` number, since 416 + 82 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (41682163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125763 + ... + 126093.

It is an arithmetic number, because the mean of its divisors is an integer number (1008450).

Almost surely, 2^41682168 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 41682168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64540800).

41682168 is an abundant number, since it is smaller than the sum of its proper divisors (87399432).

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

41682168 is a wasteful number, since it uses less digits than its factorization.

41682168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 41682168 is about 6456.1728601394. The cubic root of 41682168 is about 346.7236239419.

It can be divided in two parts, 4168 and 2168, that added together give a palindrome (6336).

The spelling of 41682168 in words is "forty-one million, six hundred eighty-two thousand, one hundred sixty-eight".