11166160 has 40 divisors (see below), whose sum is σ = 26862120. Its totient is φ = 4311552.

The previous prime is 11166151. The next prime is 11166173. The reversal of 11166160 is 6166111.

It can be written as a sum of positive squares in 4 ways, for example, as 2238016 + 8928144 = 1496^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87 + ... + 4726.

It is an arithmetic number, because the mean of its divisors is an integer number (671553).

Almost surely, 2^11166160 is an apocalyptic number.

11166160 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 11166160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13431060).

11166160 is an abundant number, since it is smaller than the sum of its proper divisors (15695960).

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

11166160 is a wasteful number, since it uses less digits than its factorization.

11166160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4855 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 11166160 is about 3341.5804643911. The cubic root of 11166160 is about 223.5122251736.

The spelling of 11166160 in words is "eleven million, one hundred sixty-six thousand, one hundred sixty".