43648 has 32 divisors (see below), whose sum is σ = 97920. Its totient is φ = 19200.

The previous prime is 43633. The next prime is 43649. The reversal of 43648 is 84634.

43648 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (43649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1393 + ... + 1423.

It is an arithmetic number, because the mean of its divisors is an integer number (3060).

2⁴³⁶⁴⁸ 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 43648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48960).

43648 is an abundant number, since it is smaller than the sum of its proper divisors (54272).

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

43648 is a wasteful number, since it uses less digits than its factorization.

43648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 44 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 43648 is about 208.9210377152. The cubic root of 43648 is about 35.2090885622.

It can be divided in two parts, 436 and 48, that added together give a palindrome (484).

The spelling of 43648 in words is "forty-three thousand, six hundred forty-eight".