11968176 has 80 divisors (see below), whose sum is σ = 35533440. Its totient is φ = 3432960.

The previous prime is 11968141. The next prime is 11968189. The reversal of 11968176 is 67186911.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9436 + ... + 10628.

It is an arithmetic number, because the mean of its divisors is an integer number (444168).

Almost surely, 2^11968176 is an apocalyptic number.

11968176 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 11968176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17766720).

11968176 is an abundant number, since it is smaller than the sum of its proper divisors (23565264).

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

11968176 is a wasteful number, since it uses less digits than its factorization.

11968176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1228 counting only the distinct ones).

The product of its digits is 18144, while the sum is 39.

The square root of 11968176 is about 3459.5051669278. The cubic root of 11968176 is about 228.7402838598.

The spelling of 11968176 in words is "eleven million, nine hundred sixty-eight thousand, one hundred seventy-six".