11513808 has 60 divisors (see below), whose sum is σ = 33108868. Its totient is φ = 3732480.

The previous prime is 11513797. The next prime is 11513813. The reversal of 11513808 is 80831511.

It can be written as a sum of positive squares in 2 ways, for example, as 8928144 + 2585664 = 2988^2 + 1608^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4248 + ... + 6408.

Almost surely, 2^11513808 is an apocalyptic number.

11513808 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 11513808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16554434).

11513808 is an abundant number, since it is smaller than the sum of its proper divisors (21595060).

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

11513808 is a wasteful number, since it uses less digits than its factorization.

11513808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 11513808 is about 3393.2002593422. The cubic root of 11513808 is about 225.8081751301.

It can be divided in two parts, 11513 and 808, that added together give a palindrome (12321).

The spelling of 11513808 in words is "eleven million, five hundred thirteen thousand, eight hundred eight".