11544320 has 72 divisors (see below), whose sum is σ = 28697760. Its totient is φ = 4444160.

The previous prime is 11544289. The next prime is 11544331. The reversal of 11544320 is 2344511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11544292 and 11544301.

It is a congruent number.

It is an unprimeable number.

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, 36965 + ... + 37275.

It is an arithmetic number, because the mean of its divisors is an integer number (398580).

Almost surely, 2^11544320 is an apocalyptic number.

11544320 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 11544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14348880).

11544320 is an abundant number, since it is smaller than the sum of its proper divisors (17153440).

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

11544320 is an equidigital number, since it uses as much as digits as its factorization.

11544320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 11544320 is about 3397.6933351908. The cubic root of 11544320 is about 226.0074657518.

Adding to 11544320 its reverse (2344511), we get a palindrome (13888831).

The spelling of 11544320 in words is "eleven million, five hundred forty-four thousand, three hundred twenty".