11124864 has 160 divisors (see below), whose sum is σ = 35174700. Its totient is φ = 3483648.

The previous prime is 11124857. The next prime is 11124887. The reversal of 11124864 is 46842111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10497600 + 627264 = 3240^2 + 792^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 300654 + ... + 300690.

Almost surely, 2^11124864 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 11124864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17587350).

11124864 is an abundant number, since it is smaller than the sum of its proper divisors (24049836).

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

11124864 is an equidigital number, since it uses as much as digits as its factorization.

11124864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 11124864 is about 3335.3956287073. The cubic root of 11124864 is about 223.2363451046.

Adding to 11124864 its reverse (46842111), we get a palindrome (57966975).

The spelling of 11124864 in words is "eleven million, one hundred twenty-four thousand, eight hundred sixty-four".