86382846 has 48 divisors (see below), whose sum is σ = 205012080. Its totient is φ = 26069760.

The previous prime is 86382839. The next prime is 86382847. The reversal of 86382846 is 64828368.

It is a happy number.

86382846 is a `hidden beast` number, since 8 + 638 + 2 + 8 + 4 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86382847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57270 + ... + 58758.

It is an arithmetic number, because the mean of its divisors is an integer number (4271085).

Almost surely, 2^86382846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86382846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102506040).

86382846 is an abundant number, since it is smaller than the sum of its proper divisors (118629234).

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

86382846 is a wasteful number, since it uses less digits than its factorization.

86382846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1798 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 86382846 is about 9294.2372468105. The cubic root of 86382846 is about 442.0545205502.

The spelling of 86382846 in words is "eighty-six million, three hundred eighty-two thousand, eight hundred forty-six".