11214432 has 72 divisors (see below), whose sum is σ = 33297264. Its totient is φ = 3573504.

The previous prime is 11214431. The next prime is 11214433. The reversal of 11214432 is 23441211.

It is an interprime number because it is at equal distance from previous prime (11214431) and next prime (11214433).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (11214431) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5778 + ... + 7470.

It is an arithmetic number, because the mean of its divisors is an integer number (462462).

Almost surely, 2^11214432 is an apocalyptic number.

11214432 is a gapful number since it is divisible by the number (12) 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 11214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16648632).

11214432 is an abundant number, since it is smaller than the sum of its proper divisors (22082832).

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

11214432 is a wasteful number, since it uses less digits than its factorization.

11214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1721 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 11214432 is about 3348.7956043927. The cubic root of 11214432 is about 223.8338478755.

Adding to 11214432 its reverse (23441211), we get a palindrome (34655643).

The spelling of 11214432 in words is "eleven million, two hundred fourteen thousand, four hundred thirty-two".