1005968089 has 27 divisors (see below), whose sum is σ = 1229539647. Its totient is φ = 820582224.

The previous prime is 1005968077. The next prime is 1005968107. The reversal of 1005968089 is 9808695001.

The square root of 1005968089 is 31717.

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., 985646025 + 20322064 = 31395^2 + 4508^2 .

It is not a de Polignac number, because 1005968089 - 2⁷ = 1005967961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005968069) 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, 5106339 + ... + 5106535.

Almost surely, 2^1005968089 is an apocalyptic number.

1005968089 is the 31717-th square number.

1005968089 is the 15859-th centered octagonal number.

It is an amenable number.

1005968089 is a deficient number, since it is larger than the sum of its proper divisors (223571558).

1005968089 is an frugal number, since it uses more digits than its factorization.

1005968089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The cubic root of 1005968089 is about 1001.9854185046.

The spelling of 1005968089 in words is "one billion, five million, nine hundred sixty-eight thousand, eighty-nine".