11081000 has 64 divisors (see below), whose sum is σ = 29652480. Its totient is φ = 3796800.

The previous prime is 11080999. The next prime is 11081003. The reversal of 11081000 is 18011.

It is a super-3 number, since 3×11081000³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11081003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6209 + ... + 7791.

It is an arithmetic number, because the mean of its divisors is an integer number (463320).

Almost surely, 2^11081000 is an apocalyptic number.

11081000 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 11081000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14826240).

11081000 is an abundant number, since it is smaller than the sum of its proper divisors (18571480).

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

11081000 is a wasteful number, since it uses less digits than its factorization.

11081000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 11081000 is about 3328.8136024716. The cubic root of 11081000 is about 222.9425606318.

Adding to 11081000 its reverse (18011), we get a palindrome (11099011).

The spelling of 11081000 in words is "eleven million, eighty-one thousand".