86240306889 has 45 divisors (see below), whose sum is σ = 137195000215. Its totient is φ = 52202245920.

The previous prime is 86240306869. The next prime is 86240306921. The reversal of 86240306889 is 98860304268.

The square root of 86240306889 is 293667.

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

86240306889 is a `hidden beast` number, since 8 + 624 + 0 + 3 + 0 + 6 + 8 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75909617289 + 10330689600 = 275517^2 + 101640^2 .

It is not a de Polignac number, because 86240306889 - 2¹⁵ = 86240274121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86240306849) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 106600717 + ... + 106601525.

Almost surely, 2^86240306889 is an apocalyptic number.

86240306889 is the 293667-th square number.

86240306889 is the 146834-th centered octagonal number.

It is an amenable number.

86240306889 is a deficient number, since it is larger than the sum of its proper divisors (50954693326).

86240306889 is an frugal number, since it uses more digits than its factorization.

86240306889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

It can be divided in two parts, 86240 and 306889, that added together give a square (393129 = 627²).

The spelling of 86240306889 in words is "eighty-six billion, two hundred forty million, three hundred six thousand, eight hundred eighty-nine".