86386816 has 32 divisors (see below), whose sum is σ = 174297600. Its totient is φ = 42641664.

The previous prime is 86386777. The next prime is 86386819. The reversal of 86386816 is 61868368.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (86386819) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5841 + ... + 14383.

It is an arithmetic number, because the mean of its divisors is an integer number (5446800).

Almost surely, 2^86386816 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 86386816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87148800).

86386816 is an abundant number, since it is smaller than the sum of its proper divisors (87910784).

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

86386816 is an equidigital number, since it uses as much as digits as its factorization.

86386816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8636 (or 8624 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The square root of 86386816 is about 9294.4508175578. The cubic root of 86386816 is about 442.0612924563.

The spelling of 86386816 in words is "eighty-six million, three hundred eighty-six thousand, eight hundred sixteen".