41863680 has 240 divisors, whose sum is σ = 153204480. Its totient is φ = 10543104.

The previous prime is 41863667. The next prime is 41863681. The reversal of 41863680 is 8636814.

It is a happy number.

41863680 is a `hidden beast` number, since 4 + 18 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (41863681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529881 + ... + 529959.

It is an arithmetic number, because the mean of its divisors is an integer number (638352).

Almost surely, 2^41863680 is an apocalyptic number.

41863680 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 41863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76602240).

41863680 is an abundant number, since it is smaller than the sum of its proper divisors (111340800).

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

41863680 is a wasteful number, since it uses less digits than its factorization.

41863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 41863680 is about 6470.2148341458. The cubic root of 41863680 is about 347.2261839003.

The spelling of 41863680 in words is "forty-one million, eight hundred sixty-three thousand, six hundred eighty".