1968128 has 36 divisors (see below), whose sum is σ = 4066335. Its totient is φ = 952320.

The previous prime is 1968103. The next prime is 1968137. The reversal of 1968128 is 8218691.

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 can be written as a sum of positive squares in only one way, i.e., 984064 + 984064 = 992^2 + 992^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=992.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 63473 + ... + 63503.

2^1968128 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 1968128

1968128 is an abundant number, since it is smaller than the sum of its proper divisors (2098207).

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

1968128 is an frugal number, since it uses more digits than its factorization.

1968128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 33 counting only the distinct ones).

The product of its digits is 6912, while the sum is 35.

The square root of 1968128 is about 1402.8998538741. The cubic root of 1968128 is about 125.3192479518.

The spelling of 1968128 in words is "one million, nine hundred sixty-eight thousand, one hundred twenty-eight".