11791104 has 72 divisors (see below), whose sum is σ = 33824112. Its totient is φ = 3624960.

The previous prime is 11791103. The next prime is 11791127. The reversal of 11791104 is 40119711.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11791103) 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 7 ways as a sum of consecutive naturals, for example, 9394 + ... + 10574.

Almost surely, 2^11791104 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 11791104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16912056).

11791104 is an abundant number, since it is smaller than the sum of its proper divisors (22033008).

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

11791104 is a wasteful number, since it uses less digits than its factorization.

11791104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 24.

The square root of 11791104 is about 3433.8177004611. The cubic root of 11791104 is about 227.6065853257.

The spelling of 11791104 in words is "eleven million, seven hundred ninety-one thousand, one hundred four".