1123344 has 60 divisors (see below), whose sum is σ = 3264300. Its totient is φ = 360192.

The previous prime is 1123327. The next prime is 1123349. The reversal of 1123344 is 4433211.

It can be written as a sum of positive squares in 2 ways, for example, as 291600 + 831744 = 540^2 + 912^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1123349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4042 + ... + 4310.

It is an arithmetic number, because the mean of its divisors is an integer number (54405).

2^1123344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632150).

1123344 is an abundant number, since it is smaller than the sum of its proper divisors (2140956).

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

1123344 is a wasteful number, since it uses less digits than its factorization.

1123344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 303 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 1123344 is about 1059.8792384041. The cubic root of 1123344 is about 103.9531347029.

Adding to 1123344 its reverse (4433211), we get a palindrome (5556555).

The spelling of 1123344 in words is "one million, one hundred twenty-three thousand, three hundred forty-four".