41568768 has 160 divisors (see below), whose sum is σ = 128325120. Its totient is φ = 13271040.

The previous prime is 41568739. The next prime is 41568781. The reversal of 41568768 is 86786514.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428496 + ... + 428592.

It is an arithmetic number, because the mean of its divisors is an integer number (802032).

Almost surely, 2^41568768 is an apocalyptic number.

41568768 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 41568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64162560).

41568768 is an abundant number, since it is smaller than the sum of its proper divisors (86756352).

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

41568768 is an equidigital number, since it uses as much as digits as its factorization.

41568768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 41568768 is about 6447.3845860163. The cubic root of 41568768 is about 346.4089076713.

The spelling of 41568768 in words is "forty-one million, five hundred sixty-eight thousand, seven hundred sixty-eight".