11024 has 20 divisors (see below), whose sum is σ = 23436. Its totient is φ = 4992.

The previous prime is 11003. The next prime is 11027. The reversal of 11024 is 42011.

11024 = 2³ + 3³ + ... + 14³.

It is a Cunningham number, because it is equal to 105²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 4624 + 6400 = 68^2 + 80^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11027) by changing a digit.

11024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182 + ... + 234.

2¹¹⁰²⁴ 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 11024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718).

11024 is an abundant number, since it is smaller than the sum of its proper divisors (12412).

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

11024 is a wasteful number, since it uses less digits than its factorization.

11024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 11024 is about 104.9952379873. The cubic root of 11024 is about 22.2559635574.

Adding to 11024 its reverse (42011), we get a palindrome (53035).

The spelling of 11024 in words is "eleven thousand, twenty-four", and thus it is an iban number.