41827968 has 384 divisors, whose sum is σ = 162792000. Its totient is φ = 10450944.

The previous prime is 41827963. The next prime is 41827993. The reversal of 41827968 is 86972814.

41827968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41827963) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2201463 + ... + 2201481.

Almost surely, 2^41827968 is an apocalyptic number.

41827968 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 41827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81396000).

41827968 is an abundant number, since it is smaller than the sum of its proper divisors (120964032).

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

41827968 is a wasteful number, since it uses less digits than its factorization.

41827968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 44 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 41827968 is about 6467.4545224532. The cubic root of 41827968 is about 347.1274215272.

The spelling of 41827968 in words is "forty-one million, eight hundred twenty-seven thousand, nine hundred sixty-eight".