1968075769 has 27 divisors (see below), whose sum is σ = 2243887821. Its totient is φ = 1724833440.

The previous prime is 1968075751. The next prime is 1968075773. The reversal of 1968075769 is 9675708691.

The square root of 1968075769 is 44363.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 735223225 + 1232852544 = 27115^2 + 35112^2 .

It is not a de Polignac number, because 1968075769 - 2⁹ = 1968075257 is a prime.

It is a super-2 number, since 2×1968075769² = 7746644465049882722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1968075719) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18055687 + ... + 18055795.

Almost surely, 2^1968075769 is an apocalyptic number.

1968075769 is the 44363-rd square number.

1968075769 is the 22182-nd centered octagonal number.

It is an amenable number.

1968075769 is a deficient number, since it is larger than the sum of its proper divisors (275812052).

1968075769 is an equidigital number, since it uses as much as digits as its factorization.

1968075769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 58.

The cubic root of 1968075769 is about 1253.1813935057.

The spelling of 1968075769 in words is "one billion, nine hundred sixty-eight million, seventy-five thousand, seven hundred sixty-nine".