1968963129 has 27 divisors (see below), whose sum is σ = 3309960303. Its totient is φ = 1124589312.

The previous prime is 1968963097. The next prime is 1968963167. The reversal of 1968963129 is 9213698691.

The square root of 1968963129 is 44373.

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

It can be written as a sum of positive squares in only one way, i.e., 1863225 + 1967099904 = 1365^2 + 44352^2 .

It is not a de Polignac number, because 1968963129 - 2⁵ = 1968963097 is a prime.

It is a super-2 number, since 2×1968963129² = 7753631606722941282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1968963329) 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, 930777 + ... + 932889.

Almost surely, 2^1968963129 is an apocalyptic number.

1968963129 is the 44373-rd square number.

1968963129 is the 22187-th centered octagonal number.

It is an amenable number.

1968963129 is a deficient number, since it is larger than the sum of its proper divisors (1340997174).

1968963129 is an frugal number, since it uses more digits than its factorization.

1968963129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246 (or 2123 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The cubic root of 1968963129 is about 1253.3697087410.

The spelling of 1968963129 in words is "one billion, nine hundred sixty-eight million, nine hundred sixty-three thousand, one hundred twenty-nine".