41106688 has 108 divisors (see below), whose sum is σ = 99614340. Its totient is φ = 16859136.

The previous prime is 41106679. The next prime is 41106701. The reversal of 41106688 is 88660114.

It can be written as a sum of positive squares in 2 ways, for example, as 8479744 + 32626944 = 2912^2 + 5712^2 .

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 11 ways as a sum of consecutive naturals, for example, 363720 + ... + 363832.

It is an arithmetic number, because the mean of its divisors is an integer number (922355).

Almost surely, 2^41106688 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 41106688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49807170).

41106688 is an abundant number, since it is smaller than the sum of its proper divisors (58507652).

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

41106688 is a wasteful number, since it uses less digits than its factorization.

41106688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 41106688 is about 6411.4497580500. The cubic root of 41106688 is about 345.1205571813.

The spelling of 41106688 in words is "forty-one million, one hundred six thousand, six hundred eighty-eight".