11191152 has 80 divisors (see below), whose sum is σ = 34799360. Its totient is φ = 3027456.

The previous prime is 11191099. The next prime is 11191153. The reversal of 11191152 is 25119111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11191153) 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 15 ways as a sum of consecutive naturals, for example, 5508 + ... + 7260.

It is an arithmetic number, because the mean of its divisors is an integer number (434992).

Almost surely, 2^11191152 is an apocalyptic number.

11191152 is a gapful number since it is divisible by the number (12) 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 11191152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17399680).

11191152 is an abundant number, since it is smaller than the sum of its proper divisors (23608208).

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

11191152 is a wasteful number, since it uses less digits than its factorization.

11191152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1784 counting only the distinct ones).

The product of its digits is 90, while the sum is 21.

The square root of 11191152 is about 3345.3179221114. The cubic root of 11191152 is about 223.6788552769.

The spelling of 11191152 in words is "eleven million, one hundred ninety-one thousand, one hundred fifty-two".