11440320 has 112 divisors (see below), whose sum is σ = 38514528. Its totient is φ = 2867200.

The previous prime is 11440307. The next prime is 11440321. The reversal of 11440320 is 2304411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11440320.

It is not an unprimeable number, because it can be changed into a prime (11440321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15970 + ... + 16670.

Almost surely, 2^11440320 is an apocalyptic number.

11440320 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 11440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19257264).

11440320 is an abundant number, since it is smaller than the sum of its proper divisors (27074208).

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

11440320 is a wasteful number, since it uses less digits than its factorization.

11440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 11440320 is about 3382.3542097184. The cubic root of 11440320 is about 225.3267351763.

Adding to 11440320 its reverse (2304411), we get a palindrome (13744731).

The spelling of 11440320 in words is "eleven million, four hundred forty thousand, three hundred twenty".