11390080 has 96 divisors (see below), whose sum is σ = 30137940. Its totient is φ = 4091904.

The previous prime is 11390059. The next prime is 11390089. The reversal of 11390080 is 8009311.

It can be written as a sum of positive squares in 6 ways, for example, as 7795264 + 3594816 = 2792^2 + 1896^2 .

It is not an unprimeable number, because it can be changed into a prime (11390089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307822 + ... + 307858.

Almost surely, 2^11390080 is an apocalyptic number.

11390080 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 11390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15068970).

11390080 is an abundant number, since it is smaller than the sum of its proper divisors (18747860).

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

11390080 is an equidigital number, since it uses as much as digits as its factorization.

11390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 11390080 is about 3374.9192582934. The cubic root of 11390080 is about 224.9964114654.

Adding to 11390080 its reverse (8009311), we get a palindrome (19399391).

The spelling of 11390080 in words is "eleven million, three hundred ninety thousand, eighty".