11819808 has 288 divisors, whose sum is σ = 46230912. Its totient is φ = 2764800.

The previous prime is 11819789. The next prime is 11819809. The reversal of 11819808 is 80891811.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11819808² = 279415722313728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11819809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288268 + ... + 288308.

It is an arithmetic number, because the mean of its divisors is an integer number (160524).

Almost surely, 2^11819808 is an apocalyptic number.

11819808 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 11819808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115456).

11819808 is an abundant number, since it is smaller than the sum of its proper divisors (34411104).

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

11819808 is a wasteful number, since it uses less digits than its factorization.

11819808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The square root of 11819808 is about 3437.9947643939. The cubic root of 11819808 is about 227.7911291180.

Adding to 11819808 its sum of digits (36), we get a square (11819844 = 3438²).

The spelling of 11819808 in words is "eleven million, eight hundred nineteen thousand, eight hundred eight".