11144320 has 64 divisors (see below), whose sum is σ = 29082240. Its totient is φ = 4049920.

The previous prime is 11144303. The next prime is 11144321. The reversal of 11144320 is 2344111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11144294 and 11144303.

It is not an unprimeable number, because it can be changed into a prime (11144321) 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, 6249 + ... + 7831.

It is an arithmetic number, because the mean of its divisors is an integer number (454410).

Almost surely, 2^11144320 is an apocalyptic number.

11144320 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 11144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14541120).

11144320 is an abundant number, since it is smaller than the sum of its proper divisors (17937920).

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

11144320 is a wasteful number, since it uses less digits than its factorization.

11144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 11144320 is about 3338.3109501663. The cubic root of 11144320 is about 223.3664068244.

Adding to 11144320 its reverse (2344111), we get a palindrome (13488431).

The spelling of 11144320 in words is "eleven million, one hundred forty-four thousand, three hundred twenty".