11892144 has 80 divisors (see below), whose sum is σ = 33997824. Its totient is φ = 3552000.

The previous prime is 11892143. The next prime is 11892149. The reversal of 11892144 is 44129811.

It is not an unprimeable number, because it can be changed into a prime (11892143) 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, 53217 + ... + 53439.

Almost surely, 2^11892144 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 11892144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16998912).

11892144 is an abundant number, since it is smaller than the sum of its proper divisors (22105680).

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

11892144 is a wasteful number, since it uses less digits than its factorization.

11892144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 11892144 is about 3448.4988038275. The cubic root of 11892144 is about 228.2548704187.

It can be divided in two parts, 1189 and 2144, that added together give a palindrome (3333).

The spelling of 11892144 in words is "eleven million, eight hundred ninety-two thousand, one hundred forty-four".