11310080 has 66 divisors (see below), whose sum is σ = 27720474. Its totient is φ = 4427776.

The previous prime is 11310059. The next prime is 11310097. The reversal of 11310080 is 8001311.

It can be written as a sum of positive squares in only one way, i.e., 9048064 + 2262016 = 3008^2 + 1504^2 .

It is a congruent number.

It is an unprimeable number.

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, 240617 + ... + 240663.

Almost surely, 2^11310080 is an apocalyptic number.

11310080 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 11310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860237).

11310080 is an abundant number, since it is smaller than the sum of its proper divisors (16410394).

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

11310080 is an frugal number, since it uses more digits than its factorization.

11310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 11310080 is about 3363.0462381597. The cubic root of 11310080 is about 224.4684075828.

Adding to 11310080 its reverse (8001311), we get a palindrome (19311391).

The spelling of 11310080 in words is "eleven million, three hundred ten thousand, eighty".