41605668 has 72 divisors (see below), whose sum is σ = 119246400. Its totient is φ = 12125376.

The previous prime is 41605661. The next prime is 41605747. The reversal of 41605668 is 86650614.

41605668 is a `hidden beast` number, since 41 + 605 + 6 + 6 + 8 = 666.

41605668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (41605661) 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 23 ways as a sum of consecutive naturals, for example, 6553 + ... + 11231.

It is an arithmetic number, because the mean of its divisors is an integer number (1656200).

Almost surely, 2^41605668 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 41605668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59623200).

41605668 is an abundant number, since it is smaller than the sum of its proper divisors (77640732).

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

41605668 is a wasteful number, since it uses less digits than its factorization.

41605668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 41605668 is about 6450.2455767203. The cubic root of 41605668 is about 346.5113780988.

The spelling of 41605668 in words is "forty-one million, six hundred five thousand, six hundred sixty-eight".