41648 has 20 divisors (see below), whose sum is σ = 85560. Its totient is φ = 19584.

The previous prime is 41647. The next prime is 41651. The reversal of 41648 is 84614.

It is a happy number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (41641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 236 + ... + 372.

It is an arithmetic number, because the mean of its divisors is an integer number (4278).

2⁴¹⁶⁴⁸ 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 41648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42780).

41648 is an abundant number, since it is smaller than the sum of its proper divisors (43912).

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

41648 is a wasteful number, since it uses less digits than its factorization.

41648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 41648 is about 204.0784163012. The cubic root of 41648 is about 34.6628858467.

It can be divided in two parts, 416 and 48, that added together give a palindrome (464).

The spelling of 41648 in words is "forty-one thousand, six hundred forty-eight".