41568 has 24 divisors (see below), whose sum is σ = 109368. Its totient is φ = 13824.

The previous prime is 41549. The next prime is 41579. The reversal of 41568 is 86514.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 121 + ... + 312.

It is an arithmetic number, because the mean of its divisors is an integer number (4557).

2⁴¹⁵⁶⁸ is an apocalyptic number.

41568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41568 is an abundant number, since it is smaller than the sum of its proper divisors (67800).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54684).

41568 is a wasteful number, since it uses less digits than its factorization.

41568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 41568 is about 203.8823189980. The cubic root of 41568 is about 34.6406774309.

The spelling of 41568 in words is "forty-one thousand, five hundred sixty-eight".