11086120 has 64 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 4048128.

The previous prime is 11086109. The next prime is 11086121. The reversal of 11086120 is 2168011.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (11086121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21789 + ... + 22291.

It is an arithmetic number, because the mean of its divisors is an integer number (425250).

Almost surely, 2^11086120 is an apocalyptic number.

11086120 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 11086120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000).

11086120 is an abundant number, since it is smaller than the sum of its proper divisors (16129880).

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

11086120 is a wasteful number, since it uses less digits than its factorization.

11086120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 11086120 is about 3329.5825564175. The cubic root of 11086120 is about 222.9768923753.

The spelling of 11086120 in words is "eleven million, eighty-six thousand, one hundred twenty".