11500008 has 128 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 3225600.

The previous prime is 11500003. The next prime is 11500031. The reversal of 11500008 is 80000511.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11500008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11500001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280468 + ... + 280508.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 2^11500008 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 11500008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

11500008 is an abundant number, since it is smaller than the sum of its proper divisors (22368792).

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

11500008 is a wasteful number, since it uses less digits than its factorization.

11500008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 11500008 is about 3391.1661710981. The cubic root of 11500008 is about 225.7179241141.

Adding to 11500008 its reverse (80000511), we get a palindrome (91500519).

The spelling of 11500008 in words is "eleven million, five hundred thousand, eight".