7968896 has 32 divisors (see below), whose sum is σ = 17100300. Its totient is φ = 3677184.

The previous prime is 7968893. The next prime is 7968911. The reversal of 7968896 is 6988697.

It can be written as a sum of positive squares in 2 ways, for example, as 6431296 + 1537600 = 2536^2 + 1240^2 .

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

It is not an unprimeable number, because it can be changed into a prime (7968893) 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, 731 + ... + 4058.

Almost surely, 2^7968896 is an apocalyptic number.

It is an amenable number.

7968896 is an abundant number, since it is smaller than the sum of its proper divisors (9131404).

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

7968896 is a wasteful number, since it uses less digits than its factorization.

7968896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4804 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 53.

The square root of 7968896 is about 2822.9233074953. The cubic root of 7968896 is about 199.7404633493.

The spelling of 7968896 in words is "seven million, nine hundred sixty-eight thousand, eight hundred ninety-six".