11055168 has 84 divisors (see below), whose sum is σ = 33581340. Its totient is φ = 3465216.

The previous prime is 11055167. The next prime is 11055173. The reversal of 11055168 is 86155011.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 6594624 = 2112^2 + 2568^2 .

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (11055167) by changing a digit.

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, 9228 + ... + 10356.

Almost surely, 2^11055168 is an apocalyptic number.

11055168 is a gapful number since it is divisible by the number (18) 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 11055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16790670).

11055168 is an abundant number, since it is smaller than the sum of its proper divisors (22526172).

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

11055168 is a wasteful number, since it uses less digits than its factorization.

11055168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1151 counting only the distinct ones).

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

The square root of 11055168 is about 3324.9312774853. The cubic root of 11055168 is about 222.7691847874.

It can be divided in two parts, 110 and 55168, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 11055168 in words is "eleven million, fifty-five thousand, one hundred sixty-eight".