41664 has 56 divisors (see below), whose sum is σ = 130048. Its totient is φ = 11520.

The previous prime is 41659. The next prime is 41669. The reversal of 41664 is 46614.

41664 = T₁ + T₂ + ... + T₆₂.

41664 is a nontrivial binomial coefficient, being equal to C(64, 3).

It is an interprime number because it is at equal distance from previous prime (41659) and next prime (41669).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 41664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41669) by changing a digit.

41664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 62-nd tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1329 + ... + 1359.

2⁴¹⁶⁶⁴ 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 41664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65024).

41664 is an abundant number, since it is smaller than the sum of its proper divisors (88384).

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

41664 is a wasteful number, since it uses less digits than its factorization.

41664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 43 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 41664 is about 204.1176131548. The cubic root of 41664 is about 34.6673241164.

Subtracting 41664 from its reverse (46614), we obtain a triangular number (4950 = T₉₉).

The spelling of 41664 in words is "forty-one thousand, six hundred sixty-four".