11040768 has 72 divisors (see below), whose sum is σ = 31941000. Its totient is φ = 3674112.

The previous prime is 11040761. The next prime is 11040773. The reversal of 11040768 is 86704011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040761) 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 5 ways as a sum of consecutive naturals, for example, 18133 + ... + 18731.

It is an arithmetic number, because the mean of its divisors is an integer number (443625).

Almost surely, 2^11040768 is an apocalyptic number.

11040768 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 11040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15970500).

11040768 is an abundant number, since it is smaller than the sum of its proper divisors (20900232).

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

11040768 is an equidigital number, since it uses as much as digits as its factorization.

11040768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11040768 is about 3322.7651135763. The cubic root of 11040768 is about 222.6724194832.

Adding to 11040768 its reverse (86704011), we get a palindrome (97744779).

The spelling of 11040768 in words is "eleven million, forty thousand, seven hundred sixty-eight".