11982824 has 64 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 4700160.

The previous prime is 11982811. The next prime is 11982847. The reversal of 11982824 is 42828911.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38879 + ... + 39185.

It is an arithmetic number, because the mean of its divisors is an integer number (436590).

Almost surely, 2^11982824 is an apocalyptic number.

11982824 is a gapful number since it is divisible by the number (14) 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 11982824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

11982824 is an abundant number, since it is smaller than the sum of its proper divisors (15958936).

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

11982824 is a wasteful number, since it uses less digits than its factorization.

11982824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 374 counting only the distinct ones).

The product of its digits is 9216, while the sum is 35.

The square root of 11982824 is about 3461.6215853267. The cubic root of 11982824 is about 228.8335651769.

The spelling of 11982824 in words is "eleven million, nine hundred eighty-two thousand, eight hundred twenty-four".