11214336 has 120 divisors (see below), whose sum is σ = 34986600. Its totient is φ = 3182592.

The previous prime is 11214311. The next prime is 11214337. The reversal of 11214336 is 63341211.

It is a super-2 number, since 2×11214336² = 251522663841792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11214337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75190 + ... + 75338.

It is an arithmetic number, because the mean of its divisors is an integer number (291555).

Almost surely, 2^11214336 is an apocalyptic number.

11214336 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 11214336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17493300).

11214336 is an abundant number, since it is smaller than the sum of its proper divisors (23772264).

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

11214336 is an equidigital number, since it uses as much as digits as its factorization.

11214336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 11214336 is about 3348.7812708506. The cubic root of 11214336 is about 223.8332091714.

Adding to 11214336 its reverse (63341211), we get a palindrome (74555547).

The spelling of 11214336 in words is "eleven million, two hundred fourteen thousand, three hundred thirty-six".