1144320 has 80 divisors (see below), whose sum is σ = 3682800. Its totient is φ = 303104.

The previous prime is 1144301. The next prime is 1144327. The reversal of 1144320 is 234411.

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

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 1144320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144327) 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, 7606 + ... + 7754.

It is an arithmetic number, because the mean of its divisors is an integer number (46035).

2^1144320 is an apocalyptic number.

1144320 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 1144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841400).

1144320 is an abundant number, since it is smaller than the sum of its proper divisors (2538480).

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

1144320 is an equidigital number, since it uses as much as digits as its factorization.

1144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

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

The square root of 1144320 is about 1069.7289376286. The cubic root of 1144320 is about 104.5961813746.

Adding to 1144320 its reverse (234411), we get a palindrome (1378731).

Subtracting from 1144320 its reverse (234411), we obtain a palindrome (909909).

The spelling of 1144320 in words is "one million, one hundred forty-four thousand, three hundred twenty".