1168128 has 108 divisors (see below), whose sum is σ = 3740520. Its totient is φ = 359424.

The previous prime is 1168093. The next prime is 1168133. The reversal of 1168128 is 8218611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

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, 89850 + ... + 89862.

2^1168128 is an apocalyptic number.

1168128 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 1168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870260).

1168128 is an abundant number, since it is smaller than the sum of its proper divisors (2572392).

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

1168128 is an equidigital number, since it uses as much as digits as its factorization.

1168128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 18 counting only the distinct ones).

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

The square root of 1168128 is about 1080.7997039230. The cubic root of 1168128 is about 105.3165954639.

Multiplying 1168128 by its sum of digits (27), we get a square (31539456 = 5616²).

1168128 divided by its sum of digits (27) gives a square (43264 = 208²).

Multiplying 1168128 by its product of digits (768), we get a square (897122304 = 29952²).

1168128 divided by its product of digits (768) gives a square (1521 = 39²).

It can be divided in two parts, 1168 and 128, that added together give a 4-th power (1296 = 6⁴).

The spelling of 1168128 in words is "one million, one hundred sixty-eight thousand, one hundred twenty-eight".