1331008 has 28 divisors (see below), whose sum is σ = 3019552. Its totient is φ = 570240.

The previous prime is 1330997. The next prime is 1331023. The reversal of 1331008 is 8001331.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1330982 and 1331000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1038 + ... + 1933.

2^1331008 is an apocalyptic number.

It is an amenable number.

1331008 is an abundant number, since it is smaller than the sum of its proper divisors (1688544).

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

1331008 is an equidigital number, since it uses as much as digits as its factorization.

1331008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1331008 is about 1153.6932001186. The cubic root of 1331008 is about 110.0002203852. Note that the first 3 decimals are identical.

Adding to 1331008 its reverse (8001331), we get a palindrome (9332339).

The spelling of 1331008 in words is "one million, three hundred thirty-one thousand, eight".