41705568 has 72 divisors (see below), whose sum is σ = 119410200. Its totient is φ = 13807104.

The previous prime is 41705561. The next prime is 41705579. The reversal of 41705568 is 86550714.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41705561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51148 + ... + 51956.

It is an arithmetic number, because the mean of its divisors is an integer number (1658475).

Almost surely, 2^41705568 is an apocalyptic number.

41705568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41705568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59705100).

41705568 is an abundant number, since it is smaller than the sum of its proper divisors (77704632).

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

41705568 is a wasteful number, since it uses less digits than its factorization.

41705568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 41705568 is about 6457.9848250054. The cubic root of 41705568 is about 346.7884943282.

The spelling of 41705568 in words is "forty-one million, seven hundred five thousand, five hundred sixty-eight".