41882560 has 56 divisors (see below), whose sum is σ = 105613200. Its totient is φ = 15765504.

The previous prime is 41882551. The next prime is 41882569. The reversal of 41882560 is 6528814.

41882560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41882551) and next prime (41882569).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41882569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1591 + ... + 9289.

It is an arithmetic number, because the mean of its divisors is an integer number (1885950).

Almost surely, 2^41882560 is an apocalyptic number.

41882560 is a gapful number since it is divisible by the number (40) 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 41882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52806600).

41882560 is an abundant number, since it is smaller than the sum of its proper divisors (63730640).

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

41882560 is a wasteful number, since it uses less digits than its factorization.

41882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7733 (or 7723 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 41882560 is about 6471.6736629716. The cubic root of 41882560 is about 347.2783742882.

The spelling of 41882560 in words is "forty-one million, eight hundred eighty-two thousand, five hundred sixty".