7968448 has 28 divisors (see below), whose sum is σ = 16647160. Its totient is φ = 3773952.

The previous prime is 7968413. The next prime is 7968449. The reversal of 7968448 is 8448697.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7968398 and 7968407.

It is not an unprimeable number, because it can be changed into a prime (7968449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2061 + ... + 4492.

Almost surely, 2^7968448 is an apocalyptic number.

It is an amenable number.

7968448 is an abundant number, since it is smaller than the sum of its proper divisors (8678712).

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

7968448 is a wasteful number, since it uses less digits than its factorization.

7968448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6584 (or 6574 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The square root of 7968448 is about 2822.8439560132. The cubic root of 7968448 is about 199.7367202376.

Subtracting 7968448 from its reverse (8448697), we obtain a square (480249 = 693²).

The spelling of 7968448 in words is "seven million, nine hundred sixty-eight thousand, four hundred forty-eight".