11382336 has 112 divisors (see below), whose sum is σ = 38282880. Its totient is φ = 3248640.

The previous prime is 11382317. The next prime is 11382341. The reversal of 11382336 is 63328311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11626 + ... + 12566.

Almost surely, 2^11382336 is an apocalyptic number.

11382336 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 11382336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19141440).

11382336 is an abundant number, since it is smaller than the sum of its proper divisors (26900544).

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

11382336 is an equidigital number, since it uses as much as digits as its factorization.

11382336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 953 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 11382336 is about 3373.7717765136. The cubic root of 11382336 is about 224.9454089781.

The spelling of 11382336 in words is "eleven million, three hundred eighty-two thousand, three hundred thirty-six".