1319328 has 60 divisors (see below), whose sum is σ = 3887730. Its totient is φ = 438912.

The previous prime is 1319323. The next prime is 1319333. The reversal of 1319328 is 8239131.

It is an interprime number because it is at equal distance from previous prime (1319323) and next prime (1319333).

It can be written as a sum of positive squares in only one way, i.e., 944784 + 374544 = 972^2 + 612^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (1319321) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2338 + ... + 2846.

2^1319328 is an apocalyptic number.

1319328 is a gapful number since it is divisible by the number (18) 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 1319328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943865).

1319328 is an abundant number, since it is smaller than the sum of its proper divisors (2568402).

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

1319328 is an equidigital number, since it uses as much as digits as its factorization.

1319328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 514 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1319328 is about 1148.6200416152. The cubic root of 1319328 is about 109.6775127878.

The spelling of 1319328 in words is "one million, three hundred nineteen thousand, three hundred twenty-eight".