41713664 has 64 divisors (see below), whose sum is σ = 89127600. Its totient is φ = 19464192.

The previous prime is 41713663. The next prime is 41713667. The reversal of 41713664 is 46631714.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 41713664.

It is not an unprimeable number, because it can be changed into a prime (41713663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 622559 + ... + 622625.

Almost surely, 2^41713664 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 41713664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44563800).

41713664 is an abundant number, since it is smaller than the sum of its proper divisors (47413936).

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

41713664 is an frugal number, since it uses more digits than its factorization.

41713664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 41713664 is about 6458.6116155099. The cubic root of 41713664 is about 346.8109327230.

The spelling of 41713664 in words is "forty-one million, seven hundred thirteen thousand, six hundred sixty-four".