11783808 has 96 divisors (see below), whose sum is σ = 34727940. Its totient is φ = 3833856.

The previous prime is 11783801. The next prime is 11783809. The reversal of 11783808 is 80838711.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 5184 = 3432^2 + 72^2 .

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 not an unprimeable number, because it can be changed into a prime (11783801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60960 + ... + 61152.

Almost surely, 2^11783808 is an apocalyptic number.

11783808 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 11783808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17363970).

11783808 is an abundant number, since it is smaller than the sum of its proper divisors (22944132).

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

11783808 is a wasteful number, since it uses less digits than its factorization.

11783808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 11783808 is about 3432.7551616741. The cubic root of 11783808 is about 227.5596301444.

The spelling of 11783808 in words is "eleven million, seven hundred eighty-three thousand, eight hundred eight".