1981168 has 60 divisors (see below), whose sum is σ = 4724400. Its totient is φ = 804384.

The previous prime is 1981159. The next prime is 1981169. The reversal of 1981168 is 8611891.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104263 + ... + 104281.

It is an arithmetic number, because the mean of its divisors is an integer number (78740).

2^1981168 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 1981168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362200).

1981168 is an abundant number, since it is smaller than the sum of its proper divisors (2743232).

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

1981168 is an equidigital number, since it uses as much as digits as its factorization.

1981168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 28 counting only the distinct ones).

The product of its digits is 3456, while the sum is 34.

The square root of 1981168 is about 1407.5396974864. The cubic root of 1981168 is about 125.5954100585.

The spelling of 1981168 in words is "one million, nine hundred eighty-one thousand, one hundred sixty-eight".