41538168 has 96 divisors (see below), whose sum is σ = 130447200. Its totient is φ = 11695104.

The previous prime is 41538151. The next prime is 41538193. The reversal of 41538168 is 86183514.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36228 + ... + 37356.

It is an arithmetic number, because the mean of its divisors is an integer number (1358825).

Almost surely, 2^41538168 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 41538168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65223600).

41538168 is an abundant number, since it is smaller than the sum of its proper divisors (88909032).

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

41538168 is a wasteful number, since it uses less digits than its factorization.

41538168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1214 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 41538168 is about 6445.0110938617. The cubic root of 41538168 is about 346.3238861903.

It can be divided in two parts, 4153 and 8168, that added together give a palindrome (12321).

The spelling of 41538168 in words is "forty-one million, five hundred thirty-eight thousand, one hundred sixty-eight".