41085664 has 48 divisors (see below), whose sum is σ = 84672000. Its totient is φ = 19601280.

The previous prime is 41085637. The next prime is 41085677. The reversal of 41085664 is 46658014.

41085664 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 7 ways as a sum of consecutive naturals, for example, 82087 + ... + 82585.

It is an arithmetic number, because the mean of its divisors is an integer number (1764000).

Almost surely, 2^41085664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41085664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336000).

41085664 is an abundant number, since it is smaller than the sum of its proper divisors (43586336).

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

41085664 is a wasteful number, since it uses less digits than its factorization.

41085664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 41085664 is about 6409.8099815829. The cubic root of 41085664 is about 345.0617098883.

The spelling of 41085664 in words is "forty-one million, eighty-five thousand, six hundred sixty-four".