11791248 has 80 divisors (see below), whose sum is σ = 36664320. Its totient is φ = 3189888.

The previous prime is 11791243. The next prime is 11791261. The reversal of 11791248 is 84219711.

It is not an unprimeable number, because it can be changed into a prime (11791243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5461 + ... + 7307.

It is an arithmetic number, because the mean of its divisors is an integer number (458304).

Almost surely, 2^11791248 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 11791248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332160).

11791248 is an abundant number, since it is smaller than the sum of its proper divisors (24873072).

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

11791248 is a wasteful number, since it uses less digits than its factorization.

11791248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1878 counting only the distinct ones).

The product of its digits is 4032, while the sum is 33.

The square root of 11791248 is about 3433.8386683128. The cubic root of 11791248 is about 227.6075118778.

The spelling of 11791248 in words is "eleven million, seven hundred ninety-one thousand, two hundred forty-eight".