41648768 has 128 divisors (see below), whose sum is σ = 103403520. Its totient is φ = 16321536.

The previous prime is 41648767. The next prime is 41648773. The reversal of 41648768 is 86784614.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (41648767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886121 + ... + 886167.

It is an arithmetic number, because the mean of its divisors is an integer number (807840).

Almost surely, 2^41648768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51701760).

41648768 is an abundant number, since it is smaller than the sum of its proper divisors (61754752).

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

41648768 is a wasteful number, since it uses less digits than its factorization.

41648768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 41648768 is about 6453.5856699977. The cubic root of 41648768 is about 346.6309890962.

The spelling of 41648768 in words is "forty-one million, six hundred forty-eight thousand, seven hundred sixty-eight".