41705664 has 336 divisors, whose sum is σ = 155667456. Its totient is φ = 9676800.

The previous prime is 41705663. The next prime is 41705681. The reversal of 41705664 is 46650714.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41705663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1345329 + ... + 1345359.

It is an arithmetic number, because the mean of its divisors is an integer number (463296).

Almost surely, 2^41705664 is an apocalyptic number.

41705664 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 41705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77833728).

41705664 is an abundant number, since it is smaller than the sum of its proper divisors (113961792).

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

41705664 is a wasteful number, since it uses less digits than its factorization.

41705664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 41705664 is about 6457.9922576603. The cubic root of 41705664 is about 346.7887604131.

The spelling of 41705664 in words is "forty-one million, seven hundred five thousand, six hundred sixty-four".