1008131408 has 80 divisors (see below), whose sum is σ = 2108198400. Its totient is φ = 465937920.

The previous prime is 1008131357. The next prime is 1008131419. The reversal of 1008131408 is 8041318001.

1008131408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1567535 + ... + 1568177.

It is an arithmetic number, because the mean of its divisors is an integer number (26352480).

Almost surely, 2^1008131408 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 1008131408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054099200).

1008131408 is an abundant number, since it is smaller than the sum of its proper divisors (1100066992).

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

1008131408 is a wasteful number, since it uses less digits than its factorization.

1008131408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 1008131408 is about 31751.0851468103. The cubic root of 1008131408 is about 1002.7031556986.

Adding to 1008131408 its reverse (8041318001), we get a palindrome (9049449409).

The spelling of 1008131408 in words is "one billion, eight million, one hundred thirty-one thousand, four hundred eight".