11080800 has 252 divisors, whose sum is σ = 42692580. Its totient is φ = 2799360.

The previous prime is 11080793. The next prime is 11080807. The reversal of 11080800 is 808011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11080793) and next prime (11080807).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11080807) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 583191 + ... + 583209.

It is an arithmetic number, because the mean of its divisors is an integer number (169415).

Almost surely, 2^11080800 is an apocalyptic number.

11080800 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 11080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21346290).

11080800 is an abundant number, since it is smaller than the sum of its proper divisors (31611780).

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

11080800 is an equidigital number, since it uses as much as digits as its factorization.

11080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11080800 is about 3328.7835616032. The cubic root of 11080800 is about 222.9412193334.

Adding to 11080800 its reverse (808011), we get a palindrome (11888811).

It can be divided in two parts, 1 and 1080800, that added together give a palindrome (1080801).

The spelling of 11080800 in words is "eleven million, eighty thousand, eight hundred".