11009000 has 64 divisors (see below), whose sum is σ = 26254800. Its totient is φ = 4320000.

The previous prime is 11008967. The next prime is 11009023. The reversal of 11009000 is 90011.

It can be written as a sum of positive squares in 8 ways, for example, as 3247204 + 7761796 = 1802^2 + 2786^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100946 + ... + 101054.

Almost surely, 2^11009000 is an apocalyptic number.

11009000 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 11009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13127400).

11009000 is an abundant number, since it is smaller than the sum of its proper divisors (15245800).

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

11009000 is a wasteful number, since it uses less digits than its factorization.

11009000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 11009000 is about 3317.9813139920. The cubic root of 11009000 is about 222.4586465249.

Adding to 11009000 its reverse (90011), we get a palindrome (11099011).

It can be divided in two parts, 1 and 1009000, that added together give a palindrome (1009001).

The spelling of 11009000 in words is "eleven million, nine thousand".