11191000 has 96 divisors (see below), whose sum is σ = 28529280. Its totient is φ = 4104000.

The previous prime is 11190997. The next prime is 11191009. The reversal of 11191000 is 19111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11191009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360985 + ... + 361015.

It is an arithmetic number, because the mean of its divisors is an integer number (297180).

Almost surely, 2^11191000 is an apocalyptic number.

11191000 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 11191000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14264640).

11191000 is an abundant number, since it is smaller than the sum of its proper divisors (17338280).

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

11191000 is a wasteful number, since it uses less digits than its factorization.

11191000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 11191000 is about 3345.2952037152. The cubic root of 11191000 is about 223.6778425917.

The spelling of 11191000 in words is "eleven million, one hundred ninety-one thousand".