1311008 has 24 divisors (see below), whose sum is σ = 2633148. Its totient is φ = 642304.

The previous prime is 1311001. The next prime is 1311029. The reversal of 1311008 is 8001131.

It can be written as a sum of positive squares in 2 ways, for example, as 1281424 + 29584 = 1132^2 + 172^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1310983 and 1311001.

It is not an unprimeable number, because it can be changed into a prime (1311001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1310 + ... + 2082.

2^1311008 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 1311008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316574).

1311008 is an abundant number, since it is smaller than the sum of its proper divisors (1322140).

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

1311008 is an equidigital number, since it uses as much as digits as its factorization.

1311008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1311008 is about 1144.9925763951. The cubic root of 1311008 is about 109.4464755126.

Adding to 1311008 its reverse (8001131), we get a palindrome (9312139).

The spelling of 1311008 in words is "one million, three hundred eleven thousand, eight".