89938210609 has 81 divisors (see below), whose sum is σ = 110012117313. Its totient is φ = 73472365824.

The previous prime is 89938210601. The next prime is 89938210619. The reversal of 89938210609 is 90601283998.

The square root of 89938210609 is 299897.

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 812079009 + 89126131600 = 28497^2 + 298540^2 .

It is not a de Polignac number, because 89938210609 - 2³ = 89938210601 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 89938210609.

It is not an unprimeable number, because it can be changed into a prime (89938210601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1524376422 + ... + 1524376480.

Almost surely, 2^89938210609 is an apocalyptic number.

89938210609 is the 299897-th square number.

89938210609 is the 149949-th centered octagonal number.

It is an amenable number.

89938210609 is a deficient number, since it is larger than the sum of its proper divisors (20073906704).

89938210609 is a wasteful number, since it uses less digits than its factorization.

89938210609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 55.

The spelling of 89938210609 in words is "eighty-nine billion, nine hundred thirty-eight million, two hundred ten thousand, six hundred nine".