11968096 has 72 divisors (see below), whose sum is σ = 28428624. Its totient is φ = 4857600.

The previous prime is 11968069. The next prime is 11968129. The reversal of 11968096 is 69086911.

11968096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118446 + ... + 118546.

It is an arithmetic number, because the mean of its divisors is an integer number (394842).

Almost surely, 2^11968096 is an apocalyptic number.

11968096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11968096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14214312).

11968096 is an abundant number, since it is smaller than the sum of its proper divisors (16460528).

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

11968096 is a wasteful number, since it uses less digits than its factorization.

11968096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 11968096 is about 3459.4936045612. The cubic root of 11968096 is about 228.7397741953.

The spelling of 11968096 in words is "eleven million, nine hundred sixty-eight thousand, ninety-six".