86569984 has 44 divisors (see below), whose sum is σ = 183272004. Its totient is φ = 40730624.

The previous prime is 86569981. The next prime is 86569991. The reversal of 86569984 is 48996568.

It can be written as a sum of positive squares in 2 ways, for example, as 61968384 + 24601600 = 7872^2 + 4960^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86569981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14922 + ... + 19894.

Almost surely, 2^86569984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86569984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91636002).

86569984 is an abundant number, since it is smaller than the sum of its proper divisors (96702020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86569984 is a wasteful number, since it uses less digits than its factorization.

86569984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 4992 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 55.

The square root of 86569984 is about 9304.2992213277. The cubic root of 86569984 is about 442.3735095488.

The spelling of 86569984 in words is "eighty-six million, five hundred sixty-nine thousand, nine hundred eighty-four".