41601168 has 80 divisors (see below), whose sum is σ = 136479360. Its totient is φ = 11885184.

The previous prime is 41601139. The next prime is 41601169. The reversal of 41601168 is 86110614.

41601168 is a `hidden beast` number, since 41 + 601 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41601169) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3855 + ... + 9902.

It is an arithmetic number, because the mean of its divisors is an integer number (1705992).

Almost surely, 2^41601168 is an apocalyptic number.

41601168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41601168 is an abundant number, since it is smaller than the sum of its proper divisors (94878192).

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

41601168 is a wasteful number, since it uses less digits than its factorization.

41601168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13781 (or 13769 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 41601168 is about 6449.8967433595. The cubic root of 41601168 is about 346.4988849498.

The spelling of 41601168 in words is "forty-one million, six hundred one thousand, one hundred sixty-eight".