86118384 has 80 divisors (see below), whose sum is σ = 244162944. Its totient is φ = 25939200.

The previous prime is 86118343. The next prime is 86118401. The reversal of 86118384 is 48381168.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111022 + ... + 111794.

Almost surely, 2^86118384 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 86118384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122081472).

86118384 is an abundant number, since it is smaller than the sum of its proper divisors (158044560).

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

86118384 is a wasteful number, since it uses less digits than its factorization.

86118384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 1000 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 86118384 is about 9279.9991379310. Note that the first 3 decimals coincide. The cubic root of 86118384 is about 441.6029411955.

The spelling of 86118384 in words is "eighty-six million, one hundred eighteen thousand, three hundred eighty-four".