86415984 has 100 divisors (see below), whose sum is σ = 252517320. Its totient is φ = 28529280.

The previous prime is 86415983. The next prime is 86416019. The reversal of 86415984 is 48951468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86415983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169522 + ... + 170030.

Almost surely, 2^86415984 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 86415984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126258660).

86415984 is an abundant number, since it is smaller than the sum of its proper divisors (166101336).

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

86415984 is a wasteful number, since it uses less digits than its factorization.

86415984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 645 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 86415984 is about 9296.0197934385. The cubic root of 86415984 is about 442.1110399890. Note that the first 3 decimals are identical.

The spelling of 86415984 in words is "eighty-six million, four hundred fifteen thousand, nine hundred eighty-four".