1127168 has 72 divisors (see below), whose sum is σ = 2796192. Its totient is φ = 442368.

The previous prime is 1127167. The next prime is 1127177. The reversal of 1127168 is 8617211.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1127167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30446 + ... + 30482.

It is an arithmetic number, because the mean of its divisors is an integer number (38836).

2^1127168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398096).

1127168 is an abundant number, since it is smaller than the sum of its proper divisors (1669024).

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

1127168 is an equidigital number, since it uses as much as digits as its factorization.

1127168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 63 counting only the distinct ones).

The product of its digits is 672, while the sum is 26.

The square root of 1127168 is about 1061.6816848755. The cubic root of 1127168 is about 104.0709574930.

It can be divided in two parts, 112 and 7168, that multiplied together give a square (802816 = 896²).

The spelling of 1127168 in words is "one million, one hundred twenty-seven thousand, one hundred sixty-eight".