41768160 has 192 divisors, whose sum is σ = 155602944. Its totient is φ = 9216000.

The previous prime is 41768159. The next prime is 41768183. The reversal of 41768160 is 6186714.

It is a happy number.

41768160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 103960 + ... + 104360.

It is an arithmetic number, because the mean of its divisors is an integer number (810432).

Almost surely, 2^41768160 is an apocalyptic number.

41768160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41768160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77801472).

41768160 is an abundant number, since it is smaller than the sum of its proper divisors (113834784).

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

41768160 is a wasteful number, since it uses less digits than its factorization.

41768160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 41768160 is about 6462.8291018717. The cubic root of 41768160 is about 346.9618951201.

The spelling of 41768160 in words is "forty-one million, seven hundred sixty-eight thousand, one hundred sixty".