41640768 has 168 divisors, whose sum is σ = 132027168. Its totient is φ = 12469248.

The previous prime is 41640751. The next prime is 41640779. The reversal of 41640768 is 86704614.

41640768 is a `hidden beast` number, since 4 + 1 + 640 + 7 + 6 + 8 = 666.

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, 501655 + ... + 501737.

It is an arithmetic number, because the mean of its divisors is an integer number (785876).

Almost surely, 2^41640768 is an apocalyptic number.

41640768 is a gapful number since it is divisible by the number (48) 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 41640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66013584).

41640768 is an abundant number, since it is smaller than the sum of its proper divisors (90386400).

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

41640768 is a wasteful number, since it uses less digits than its factorization.

41640768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 41640768 is about 6452.9658297561. The cubic root of 41640768 is about 346.6087937580.

The spelling of 41640768 in words is "forty-one million, six hundred forty thousand, seven hundred sixty-eight".