1128168 has 40 divisors (see below), whose sum is σ = 3161730. Its totient is φ = 375840.

The previous prime is 1128161. The next prime is 1128181. The reversal of 1128168 is 8618211.

It can be written as a sum of positive squares in only one way, i.e., 1127844 + 324 = 1062^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1128161) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 223 + ... + 1518.

2^1128168 is an apocalyptic number.

1128168 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 1128168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580865).

1128168 is an abundant number, since it is smaller than the sum of its proper divisors (2033562).

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

1128168 is a wasteful number, since it uses less digits than its factorization.

1128168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1746 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 1128168 is about 1062.1525314191. The cubic root of 1128168 is about 104.1017249255.

It can be divided in two parts, 1128 and 168, that added together give a 4-th power (1296 = 6⁴).

The spelling of 1128168 in words is "one million, one hundred twenty-eight thousand, one hundred sixty-eight".