11189856 has 48 divisors (see below), whose sum is σ = 29559600. Its totient is φ = 3706368.

The previous prime is 11189851. The next prime is 11189863. The reversal of 11189856 is 65898111.

11189856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11189851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21730 + ... + 22238.

It is an arithmetic number, because the mean of its divisors is an integer number (615825).

Almost surely, 2^11189856 is an apocalyptic number.

11189856 is a gapful number since it is divisible by the number (16) 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 11189856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14779800).

11189856 is an abundant number, since it is smaller than the sum of its proper divisors (18369744).

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

11189856 is a wasteful number, since it uses less digits than its factorization.

11189856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 743 counting only the distinct ones).

The product of its digits is 17280, while the sum is 39.

The square root of 11189856 is about 3345.1242129404. The cubic root of 11189856 is about 223.6702205094.

The spelling of 11189856 in words is "eleven million, one hundred eighty-nine thousand, eight hundred fifty-six".