11822080 has 44 divisors (see below), whose sum is σ = 28371420. Its totient is φ = 4726784.

The previous prime is 11822077. The next prime is 11822081. The reversal of 11822080 is 8022811.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 4596736 = 2688^2 + 2144^2 .

It is not an unprimeable number, because it can be changed into a prime (11822081) 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 3 ways as a sum of consecutive naturals, for example, 3966 + ... + 6274.

It is an arithmetic number, because the mean of its divisors is an integer number (644805).

Almost surely, 2^11822080 is an apocalyptic number.

11822080 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 11822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14185710).

11822080 is an abundant number, since it is smaller than the sum of its proper divisors (16549340).

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

11822080 is an equidigital number, since it uses as much as digits as its factorization.

11822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 11822080 is about 3438.3251736856. The cubic root of 11822080 is about 227.8057234975.

Adding to 11822080 its reverse (8022811), we get a palindrome (19844891).

The spelling of 11822080 in words is "eleven million, eight hundred twenty-two thousand, eighty".