86486816 has 96 divisors (see below), whose sum is σ = 194322240. Its totient is φ = 37610496.

The previous prime is 86486791. The next prime is 86486821. The reversal of 86486816 is 61868468.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 808235 + ... + 808341.

It is an arithmetic number, because the mean of its divisors is an integer number (2024190).

Almost surely, 2^86486816 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 86486816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97161120).

86486816 is an abundant number, since it is smaller than the sum of its proper divisors (107835424).

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

86486816 is a wasteful number, since it uses less digits than its factorization.

86486816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its digits is 442368, while the sum is 47.

The square root of 86486816 is about 9299.8288156288. The cubic root of 86486816 is about 442.2318010471.

The spelling of 86486816 in words is "eighty-six million, four hundred eighty-six thousand, eight hundred sixteen".