11289096 has 96 divisors (see below), whose sum is σ = 37652160. Its totient is φ = 2975616.

The previous prime is 11289077. The next prime is 11289101. The reversal of 11289096 is 69098211.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11289096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5691 + ... + 7413.

It is an arithmetic number, because the mean of its divisors is an integer number (392210).

Almost surely, 2^11289096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11289096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18826080).

11289096 is an abundant number, since it is smaller than the sum of its proper divisors (26363064).

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

11289096 is a wasteful number, since it uses less digits than its factorization.

11289096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 11289096 is about 3359.9249991629. The cubic root of 11289096 is about 224.3295001922.

The spelling of 11289096 in words is "eleven million, two hundred eighty-nine thousand, ninety-six".