11080000 has 70 divisors (see below), whose sum is σ = 27573986. Its totient is φ = 4416000.

The previous prime is 11079967. The next prime is 11080007. The reversal of 11080000 is 8011.

It can be written as a sum of positive squares in 5 ways, for example, as 6310144 + 4769856 = 2512^2 + 2184^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11080007) 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 9 ways as a sum of consecutive naturals, for example, 39862 + ... + 40138.

Almost surely, 2^11080000 is an apocalyptic number.

11080000 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 11080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13786993).

11080000 is an abundant number, since it is smaller than the sum of its proper divisors (16493986).

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

11080000 is an frugal number, since it uses more digits than its factorization.

11080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 11080000 is about 3328.6633954186. The cubic root of 11080000 is about 222.9358539787.

Adding to 11080000 its reverse (8011), we get a palindrome (11088011).

The spelling of 11080000 in words is "eleven million, eighty thousand".