11007680 has 56 divisors (see below), whose sum is σ = 26883360. Its totient is φ = 4290560.

The previous prime is 11007679. The next prime is 11007683. The reversal of 11007680 is 8670011.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11007683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12701 + ... + 13539.

It is an arithmetic number, because the mean of its divisors is an integer number (480060).

Almost surely, 2^11007680 is an apocalyptic number.

11007680 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 11007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441680).

11007680 is an abundant number, since it is smaller than the sum of its proper divisors (15875680).

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

11007680 is an equidigital number, since it uses as much as digits as its factorization.

11007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 11007680 is about 3317.7823918997. The cubic root of 11007680 is about 222.4497550982.

Adding to 11007680 its reverse (8670011), we get a palindrome (19677691).

The spelling of 11007680 in words is "eleven million, seven thousand, six hundred eighty".