1968586128 has 60 divisors (see below), whose sum is σ = 5833391148. Its totient is φ = 617594880.

The previous prime is 1968586079. The next prime is 1968586157. The reversal of 1968586128 is 8216858691.

It is a happy number.

1968586128 is a `hidden beast` number, since 19 + 6 + 8 + 5 + 8 + 612 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1788274944 + 180311184 = 42288^2 + 13428^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399633 + ... + 404528.

Almost surely, 2^1968586128 is an apocalyptic number.

1968586128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1968586128 is an abundant number, since it is smaller than the sum of its proper divisors (3864805020).

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

1968586128 is a wasteful number, since it uses less digits than its factorization.

1968586128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804192 (or 804183 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The square root of 1968586128 is about 44368.7517065784. The cubic root of 1968586128 is about 1253.2897086320.

The spelling of 1968586128 in words is "one billion, nine hundred sixty-eight million, five hundred eighty-six thousand, one hundred twenty-eight".