8448768 has 108 divisors (see below), whose sum is σ = 25774840. Its totient is φ = 2654208.

The previous prime is 8448763. The next prime is 8448793. The reversal of 8448768 is 8678448.

It is a Smith number, since the sum of its digits (45) 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 (8448761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43680 + ... + 43872.

Almost surely, 2^8448768 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 8448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12887420).

8448768 is an abundant number, since it is smaller than the sum of its proper divisors (17326072).

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

8448768 is a wasteful number, since it uses less digits than its factorization.

8448768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 8448768 is about 2906.6764525829. The cubic root of 8448768 is about 203.6719062883.

It can be divided in two parts, 8448 and 768, that added together give a square (9216 = 96²).

The spelling of 8448768 in words is "eight million, four hundred forty-eight thousand, seven hundred sixty-eight".