1968608161 has 9 divisors (see below), whose sum is σ = 2132312889. Its totient is φ = 1816644336.

The previous prime is 1968608129. The next prime is 1968608171. The reversal of 1968608161 is 1618068691.

It is a happy number.

The square root of 1968608161 is 44369.

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 46662561 + 1921945600 = 6831^2 + 43840^2 .

It is not a de Polignac number, because 1968608161 - 2⁵ = 1968608129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1968608171) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 575091 + ... + 578503.

Almost surely, 2^1968608161 is an apocalyptic number.

1968608161 is the 44369-th square number.

1968608161 is the 22185-th centered octagonal number.

It is an amenable number.

1968608161 is a deficient number, since it is larger than the sum of its proper divisors (163704728).

1968608161 is an frugal number, since it uses more digits than its factorization.

1968608161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6852 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The cubic root of 1968608161 is about 1253.2943843446.

The spelling of 1968608161 in words is "one billion, nine hundred sixty-eight million, six hundred eight thousand, one hundred sixty-one".