1321344 has 96 divisors (see below), whose sum is σ = 4031040. Its totient is φ = 414720.

The previous prime is 1321319. The next prime is 1321349. The reversal of 1321344 is 4431231.

1321344 is a `hidden beast` number, since 1 + 321 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a d-powerful number, because it can be written as 1 + 3⁵ + 2¹³ + 1 + 3⁷ + 4⁹ + 4¹⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35694 + ... + 35730.

It is an arithmetic number, because the mean of its divisors is an integer number (41990).

2^1321344 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 1321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015520).

1321344 is an abundant number, since it is smaller than the sum of its proper divisors (2709696).

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

1321344 is a wasteful number, since it uses less digits than its factorization.

1321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 73 counting only the distinct ones).

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

The square root of 1321344 is about 1149.4972814235. The cubic root of 1321344 is about 109.7333486221.

Adding to 1321344 its reverse (4431231), we get a palindrome (5752575).

The spelling of 1321344 in words is "one million, three hundred twenty-one thousand, three hundred forty-four".