41643648 has 96 divisors (see below), whose sum is σ = 123198660. Its totient is φ = 13492224.

The previous prime is 41643647. The next prime is 41643677. The reversal of 41643648 is 84634614.

41643648 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 3 + 648 = 666.

41643648 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 2 ways, for example, as 32353344 + 9290304 = 5688^2 + 3048^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41643647) 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, 42136 + ... + 43112.

Almost surely, 2^41643648 is an apocalyptic number.

41643648 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 41643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61599330).

41643648 is an abundant number, since it is smaller than the sum of its proper divisors (81555012).

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

41643648 is a wasteful number, since it uses less digits than its factorization.

41643648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1019 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 41643648 is about 6453.1889791017. The cubic root of 41643648 is about 346.6167844072.

The spelling of 41643648 in words is "forty-one million, six hundred forty-three thousand, six hundred forty-eight".