1311264 has 72 divisors (see below), whose sum is σ = 3882060. Its totient is φ = 419328.

The previous prime is 1311263. The next prime is 1311287. The reversal of 1311264 is 4621131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1299600 + 11664 = 1140^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 not an unprimeable number, because it can be changed into a prime (1311263) 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, 8274 + ... + 8430.

2^1311264 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 1311264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941030).

1311264 is an abundant number, since it is smaller than the sum of its proper divisors (2570796).

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

1311264 is a wasteful number, since it uses less digits than its factorization.

1311264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1311264 is about 1145.1043620561. The cubic root of 1311264 is about 109.4535989052.

Adding to 1311264 its reverse (4621131), we get a palindrome (5932395).

The spelling of 1311264 in words is "one million, three hundred eleven thousand, two hundred sixty-four".