11214320 has 80 divisors (see below), whose sum is σ = 28873152. Its totient is φ = 4024320.

The previous prime is 11214311. The next prime is 11214337. The reversal of 11214320 is 2341211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11214295 and 11214304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42509 + ... + 42771.

Almost surely, 2^11214320 is an apocalyptic number.

11214320 is a gapful number since it is divisible by the number (10) 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 11214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436576).

11214320 is an abundant number, since it is smaller than the sum of its proper divisors (17658832).

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

11214320 is a wasteful number, since it uses less digits than its factorization.

11214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11214320 is about 3348.7788819210. The cubic root of 11214320 is about 223.8331027204.

Adding to 11214320 its reverse (2341211), we get a palindrome (13555531).

The spelling of 11214320 in words is "eleven million, two hundred fourteen thousand, three hundred twenty".