41761664 has 64 divisors (see below), whose sum is σ = 96092160. Its totient is φ = 17708544.

The previous prime is 41761663. The next prime is 41761667. The reversal of 41761664 is 46616714.

41761664 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 (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41761661) 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 7 ways as a sum of consecutive naturals, for example, 113609 + ... + 113975.

It is an arithmetic number, because the mean of its divisors is an integer number (1501440).

Almost surely, 2^41761664 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 41761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48046080).

41761664 is an abundant number, since it is smaller than the sum of its proper divisors (54330496).

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

41761664 is a wasteful number, since it uses less digits than its factorization.

41761664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 503 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 41761664 is about 6462.3265160467. The cubic root of 41761664 is about 346.9439070855.

The spelling of 41761664 in words is "forty-one million, seven hundred sixty-one thousand, six hundred sixty-four".