11168960 has 112 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 3824640.

The previous prime is 11168953. The next prime is 11168999. The reversal of 11168960 is 6986111.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66797 + ... + 66963.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 2^11168960 is an apocalyptic number.

11168960 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 11168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

11168960 is an abundant number, since it is smaller than the sum of its proper divisors (19554880).

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

11168960 is a wasteful number, since it uses less digits than its factorization.

11168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 11168960 is about 3341.9994015559. Note that the first 3 decimals coincide. The cubic root of 11168960 is about 223.5309060788.

11168960 divided by its sum of digits (32) gives a triangular number (349030 = T₈₃₅).

The spelling of 11168960 in words is "eleven million, one hundred sixty-eight thousand, nine hundred sixty".