11185056 has 72 divisors (see below), whose sum is σ = 32314464. Its totient is φ = 3669120.

The previous prime is 11185049. The next prime is 11185081. The reversal of 11185056 is 65058111.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20175 + ... + 20721.

It is an arithmetic number, because the mean of its divisors is an integer number (448812).

Almost surely, 2^11185056 is an apocalyptic number.

11185056 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 11185056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16157232).

11185056 is an abundant number, since it is smaller than the sum of its proper divisors (21129408).

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

11185056 is a wasteful number, since it uses less digits than its factorization.

11185056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 11185056 is about 3344.4066738362. The cubic root of 11185056 is about 223.6382340802.

The spelling of 11185056 in words is "eleven million, one hundred eighty-five thousand, fifty-six".