7968096 has 72 divisors (see below), whose sum is σ = 23030280. Its totient is φ = 2612736.

The previous prime is 7968043. The next prime is 7968101. The reversal of 7968096 is 6908697.

It is a tau number, because it is divible by the number of its divisors (72).

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 a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20835 + ... + 21213.

It is an arithmetic number, because the mean of its divisors is an integer number (319865).

Almost surely, 2^7968096 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 7968096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11515140).

7968096 is an abundant number, since it is smaller than the sum of its proper divisors (15062184).

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

7968096 is a wasteful number, since it uses less digits than its factorization.

7968096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7968096 is about 2822.7816068552. The cubic root of 7968096 is about 199.7337791228.

The spelling of 7968096 in words is "seven million, nine hundred sixty-eight thousand, ninety-six".