11088000 has 384 divisors, whose sum is σ = 49645440. Its totient is φ = 2304000.

The previous prime is 11087983. The next prime is 11088019. The reversal of 11088000 is 88011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 1007995 + ... + 1008005.

It is an arithmetic number, because the mean of its divisors is an integer number (129285).

Almost surely, 2^11088000 is an apocalyptic number.

11088000 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 11088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24822720).

11088000 is an abundant number, since it is smaller than the sum of its proper divisors (38557440).

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

11088000 is a wasteful number, since it uses less digits than its factorization.

11088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 28 counting only the distinct ones).

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

The square root of 11088000 is about 3329.8648621228. The cubic root of 11088000 is about 222.9894959091.

The spelling of 11088000 in words is "eleven million, eighty-eight thousand".