41064 has 32 divisors (see below), whose sum is σ = 108000. Its totient is φ = 12992.

The previous prime is 41057. The next prime is 41077. The reversal of 41064 is 46014.

It is an unprimeable number.

41064 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 667 + ... + 725.

It is an arithmetic number, because the mean of its divisors is an integer number (3375).

2⁴¹⁰⁶⁴ 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 41064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54000).

41064 is an abundant number, since it is smaller than the sum of its proper divisors (66936).

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

41064 is a wasteful number, since it uses less digits than its factorization.

41064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 41064 is about 202.6425424238. The cubic root of 41064 is about 34.5001050196.

Adding to 41064 its reverse (46014), we get a palindrome (87078).

Subtracting 41064 from its reverse (46014), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 410 and 64, that added together give a palindrome (474).

The spelling of 41064 in words is "forty-one thousand, sixty-four".