11808288 has 96 divisors (see below), whose sum is σ = 35078400. Its totient is φ = 3863808.

The previous prime is 11808271. The next prime is 11808299. The reversal of 11808288 is 88280811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 68170 + ... + 68342.

It is an arithmetic number, because the mean of its divisors is an integer number (365400).

Almost surely, 2^11808288 is an apocalyptic number.

11808288 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 11808288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17539200).

11808288 is an abundant number, since it is smaller than the sum of its proper divisors (23270112).

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

11808288 is a wasteful number, since it uses less digits than its factorization.

11808288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 11808288 is about 3436.3189607486. The cubic root of 11808288 is about 227.7171006510.

The spelling of 11808288 in words is "eleven million, eight hundred eight thousand, two hundred eighty-eight".