41035968 has 84 divisors (see below), whose sum is σ = 118555008. Its totient is φ = 13570560.

The previous prime is 41035937. The next prime is 41035987. The reversal of 41035968 is 86953014.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109830 + ... + 110202.

Almost surely, 2^41035968 is an apocalyptic number.

41035968 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 41035968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59277504).

41035968 is an abundant number, since it is smaller than the sum of its proper divisors (77519040).

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

41035968 is a wasteful number, since it uses less digits than its factorization.

41035968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 41035968 is about 6405.9322506564. The cubic root of 41035968 is about 344.9225282883.

The spelling of 41035968 in words is "forty-one million, thirty-five thousand, nine hundred sixty-eight".