11982336 has 80 divisors (see below), whose sum is σ = 33145200. Its totient is φ = 3842048.

The previous prime is 11982319. The next prime is 11982349. The reversal of 11982336 is 63328911.

11982336 = T₁₆₃ + T₁₆₄ + ... + T₄₂₃.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 11982297 and 11982306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44410 + ... + 44678.

It is an arithmetic number, because the mean of its divisors is an integer number (414315).

Almost surely, 2^11982336 is an apocalyptic number.

11982336 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 11982336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572600).

11982336 is an abundant number, since it is smaller than the sum of its proper divisors (21162864).

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

11982336 is an equidigital number, since it uses as much as digits as its factorization.

11982336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 303 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 11982336 is about 3461.5510974128. The cubic root of 11982336 is about 228.8304587224.

The spelling of 11982336 in words is "eleven million, nine hundred eighty-two thousand, three hundred thirty-six".