11124256 has 108 divisors (see below), whose sum is σ = 27600426. Its totient is φ = 4392960.

The previous prime is 11124193. The next prime is 11124259. The reversal of 11124256 is 65242111.

It can be written as a sum of positive squares in 3 ways, for example, as 7203856 + 3920400 = 2684^2 + 1980^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124259) 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 17 ways as a sum of consecutive naturals, for example, 654360 + ... + 654376.

Almost surely, 2^11124256 is an apocalyptic number.

11124256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11124256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13800213).

11124256 is an abundant number, since it is smaller than the sum of its proper divisors (16476170).

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

11124256 is a wasteful number, since it uses less digits than its factorization.

11124256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 43 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 11124256 is about 3335.3044838515. The cubic root of 11124256 is about 223.2322782333.

Adding to 11124256 its reverse (65242111), we get a palindrome (76366367).

The spelling of 11124256 in words is "eleven million, one hundred twenty-four thousand, two hundred fifty-six".