86841384 has 96 divisors (see below), whose sum is σ = 254157120. Its totient is φ = 24219648.

The previous prime is 86841373. The next prime is 86841413. The reversal of 86841384 is 48314868.

It is a super-3 number, since 3×86841384³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

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, 895224 + ... + 895320.

It is an arithmetic number, because the mean of its divisors is an integer number (2647470).

Almost surely, 2^86841384 is an apocalyptic number.

86841384 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 86841384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127078560).

86841384 is an abundant number, since it is smaller than the sum of its proper divisors (167315736).

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

86841384 is a wasteful number, since it uses less digits than its factorization.

86841384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 182 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 86841384 is about 9318.8724639840. The cubic root of 86841384 is about 442.8353128925.

The spelling of 86841384 in words is "eighty-six million, eight hundred forty-one thousand, three hundred eighty-four".