41563600 has 60 divisors (see below), whose sum is σ = 107551276. Its totient is φ = 15344640.

The previous prime is 41563597. The next prime is 41563601. The reversal of 41563600 is 636514.

41563600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 12446784 + 29116816 = 3528^2 + 5396^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41563601) 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 11 ways as a sum of consecutive naturals, for example, 1204 + ... + 9196.

Almost surely, 2^41563600 is an apocalyptic number.

41563600 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 41563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53775638).

41563600 is an abundant number, since it is smaller than the sum of its proper divisors (65987676).

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

41563600 is a wasteful number, since it uses less digits than its factorization.

41563600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8024 (or 8013 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 41563600 is about 6446.9837908901. The cubic root of 41563600 is about 346.3945514169.

The spelling of 41563600 in words is "forty-one million, five hundred sixty-three thousand, six hundred".