41679648 has 72 divisors (see below), whose sum is σ = 125513388. Its totient is φ = 13074432.

The previous prime is 41679623. The next prime is 41679661. The reversal of 41679648 is 84697614.

It can be written as a sum of positive squares in 2 ways, for example, as 33315984 + 8363664 = 5772^2 + 2892^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 640 + ... + 9152.

Almost surely, 2^41679648 is an apocalyptic number.

41679648 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 41679648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62756694).

41679648 is an abundant number, since it is smaller than the sum of its proper divisors (83833740).

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

41679648 is a wasteful number, since it uses less digits than its factorization.

41679648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8546 (or 8535 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 41679648 is about 6455.9776951288. The cubic root of 41679648 is about 346.7166364523.

The spelling of 41679648 in words is "forty-one million, six hundred seventy-nine thousand, six hundred forty-eight".