86739984 has 200 divisors, whose sum is σ = 276553728. Its totient is φ = 26127360.

The previous prime is 86739979. The next prime is 86740007. The reversal of 86739984 is 48993768.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 86739984.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 682929 + ... + 683055.

Almost surely, 2^86739984 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 86739984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138276864).

86739984 is an abundant number, since it is smaller than the sum of its proper divisors (189813744).

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

86739984 is a wasteful number, since it uses less digits than its factorization.

86739984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 86739984 is about 9313.4303025255. The cubic root of 86739984 is about 442.6628874615.

The spelling of 86739984 in words is "eighty-six million, seven hundred thirty-nine thousand, nine hundred eighty-four".