11782144 has 48 divisors (see below), whose sum is σ = 25749360. Its totient is φ = 5345280.

The previous prime is 11782117. The next prime is 11782153. The reversal of 11782144 is 44128711.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22267 + ... + 22789.

It is an arithmetic number, because the mean of its divisors is an integer number (536445).

Almost surely, 2^11782144 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 11782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874680).

11782144 is an abundant number, since it is smaller than the sum of its proper divisors (13967216).

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

11782144 is an equidigital number, since it uses as much as digits as its factorization.

11782144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 536 counting only the distinct ones).

The product of its digits is 1792, while the sum is 28.

The square root of 11782144 is about 3432.5127822049. The cubic root of 11782144 is about 227.5489183539.

The spelling of 11782144 in words is "eleven million, seven hundred eighty-two thousand, one hundred forty-four".