11682336 has 48 divisors (see below), whose sum is σ = 31104864. Its totient is φ = 3838464.

The previous prime is 11682323. The next prime is 11682337. The reversal of 11682336 is 63328611.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11682337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6175 + ... + 7841.

It is an arithmetic number, because the mean of its divisors is an integer number (648018).

Almost surely, 2^11682336 is an apocalyptic number.

11682336 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 11682336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552432).

11682336 is an abundant number, since it is smaller than the sum of its proper divisors (19422528).

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

11682336 is a wasteful number, since it uses less digits than its factorization.

11682336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1745 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 11682336 is about 3417.9432411905. The cubic root of 11682336 is about 226.9045637620.

The spelling of 11682336 in words is "eleven million, six hundred eighty-two thousand, three hundred thirty-six".