11041680 has 80 divisors (see below), whose sum is σ = 36872640. Its totient is φ = 2717184.

The previous prime is 11041661. The next prime is 11041691. The reversal of 11041680 is 8614011.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1351 + ... + 4889.

It is an arithmetic number, because the mean of its divisors is an integer number (460908).

Almost surely, 2^11041680 is an apocalyptic number.

11041680 is a gapful number since it is divisible by the number (10) 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 11041680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18436320).

11041680 is an abundant number, since it is smaller than the sum of its proper divisors (25830960).

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

11041680 is a wasteful number, since it uses less digits than its factorization.

11041680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 11041680 is about 3322.9023458417. The cubic root of 11041680 is about 222.6785504472.

Adding to 11041680 its reverse (8614011), we get a palindrome (19655691).

The spelling of 11041680 in words is "eleven million, forty-one thousand, six hundred eighty".