11011248 has 80 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 3608640.

The previous prime is 11011243. The next prime is 11011283. The reversal of 11011248 is 84211011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 11011248.

It is not an unprimeable number, because it can be changed into a prime (11011243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30493 + ... + 30851.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 2^11011248 is an apocalyptic number.

11011248 is a gapful number since it is divisible by the number (18) 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 11011248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

11011248 is an abundant number, since it is smaller than the sum of its proper divisors (21129552).

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

11011248 is a wasteful number, since it uses less digits than its factorization.

11011248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11011248 is about 3318.3200568963. The cubic root of 11011248 is about 222.4737872583.

Adding to 11011248 its reverse (84211011), we get a palindrome (95222259).

The spelling of 11011248 in words is "eleven million, eleven thousand, two hundred forty-eight".