86559984 has 120 divisors (see below), whose sum is σ = 280616960. Its totient is φ = 24395904.

The previous prime is 86559973. The next prime is 86559997. The reversal of 86559984 is 48995568.

86559984 = 86² + 87² + ... + 638².

It is a happy number.

86559984 is a `hidden beast` number, since 8 + 6 + 559 + 9 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 86559984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79089 + ... + 80175.

Almost surely, 2^86559984 is an apocalyptic number.

86559984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86559984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140308480).

86559984 is an abundant number, since it is smaller than the sum of its proper divisors (194056976).

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

86559984 is a wasteful number, since it uses less digits than its factorization.

86559984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1178 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 86559984 is about 9303.7618198232. The cubic root of 86559984 is about 442.3564755252.

The spelling of 86559984 in words is "eighty-six million, five hundred fifty-nine thousand, nine hundred eighty-four".