11165760 has 84 divisors (see below), whose sum is σ = 38415468. Its totient is φ = 2976768.

The previous prime is 11165747. The next prime is 11165773. The reversal of 11165760 is 6756111.

11165760 is a `hidden beast` number, since 1 + 1 + 1 + 657 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11165747) and next prime (11165773).

It can be written as a sum of positive squares in 2 ways, for example, as 3415104 + 7750656 = 1848^2 + 2784^2 .

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 11 ways as a sum of consecutive naturals, for example, 942 + ... + 4818.

It is an arithmetic number, because the mean of its divisors is an integer number (457327).

Almost surely, 2^11165760 is an apocalyptic number.

11165760 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 11165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19207734).

11165760 is an abundant number, since it is smaller than the sum of its proper divisors (27249708).

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

11165760 is a wasteful number, since it uses less digits than its factorization.

11165760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11165760 is about 3341.5206119370. The cubic root of 11165760 is about 223.5095562180.

The spelling of 11165760 in words is "eleven million, one hundred sixty-five thousand, seven hundred sixty".