41864064 has 192 divisors, whose sum is σ = 131861520. Its totient is φ = 11714560.

The previous prime is 41864059. The next prime is 41864089. The reversal of 41864064 is 46046814.

41864064 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 (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 23 ways as a sum of consecutive naturals, for example, 789862 + ... + 789914.

Almost surely, 2^41864064 is an apocalyptic number.

41864064 is a gapful number since it is divisible by the number (44) 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 41864064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65930760).

41864064 is an abundant number, since it is smaller than the sum of its proper divisors (89997456).

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

41864064 is a wasteful number, since it uses less digits than its factorization.

41864064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 41864064 is about 6470.2445085174. The cubic root of 41864064 is about 347.2272455560.

The spelling of 41864064 in words is "forty-one million, eight hundred sixty-four thousand, sixty-four".