86382416 has 40 divisors (see below), whose sum is σ = 175301280. Its totient is φ = 41181056.

The previous prime is 86382409. The next prime is 86382451. The reversal of 86382416 is 61428368.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 86382416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37391 + ... + 39633.

It is an arithmetic number, because the mean of its divisors is an integer number (4382532).

Almost surely, 2^86382416 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 86382416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87650640).

86382416 is an abundant number, since it is smaller than the sum of its proper divisors (88918864).

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

86382416 is a wasteful number, since it uses less digits than its factorization.

86382416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2357 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 86382416 is about 9294.2141141680. The cubic root of 86382416 is about 442.0537870567.

The spelling of 86382416 in words is "eighty-six million, three hundred eighty-two thousand, four hundred sixteen".