11982208 has 64 divisors (see below), whose sum is σ = 28005120. Its totient is φ = 4999680.

The previous prime is 11982203. The next prime is 11982211. The reversal of 11982208 is 80228911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 11982208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11982203) 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 7 ways as a sum of consecutive naturals, for example, 38373 + ... + 38683.

It is an arithmetic number, because the mean of its divisors is an integer number (437580).

Almost surely, 2^11982208 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 11982208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14002560).

11982208 is an abundant number, since it is smaller than the sum of its proper divisors (16022912).

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

11982208 is an equidigital number, since it uses as much as digits as its factorization.

11982208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 11982208 is about 3461.5326085421. The cubic root of 11982208 is about 228.8296439006.

The spelling of 11982208 in words is "eleven million, nine hundred eighty-two thousand, two hundred eight".