11265144 has 64 divisors (see below), whose sum is σ = 31207680. Its totient is φ = 3360000.

The previous prime is 11265143. The next prime is 11265161. The reversal of 11265144 is 44156211.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11265143) 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, 18444 + ... + 19044.

It is an arithmetic number, because the mean of its divisors is an integer number (487620).

Almost surely, 2^11265144 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 11265144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15603840).

11265144 is an abundant number, since it is smaller than the sum of its proper divisors (19942536).

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

11265144 is a wasteful number, since it uses less digits than its factorization.

11265144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 688 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 11265144 is about 3356.3587412552. The cubic root of 11265144 is about 224.1707350521.

It can be divided in two parts, 112 and 65144, that added together give a palindrome (65256).

The spelling of 11265144 in words is "eleven million, two hundred sixty-five thousand, one hundred forty-four".