86364216 has 96 divisors (see below), whose sum is σ = 254489040. Its totient is φ = 26348544.

The previous prime is 86364197. The next prime is 86364221. The reversal of 86364216 is 61246368.

86364216 is a `hidden beast` number, since 8 + 6 + 3 + 642 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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 23 ways as a sum of consecutive naturals, for example, 44335 + ... + 46241.

Almost surely, 2^86364216 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 86364216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127244520).

86364216 is an abundant number, since it is smaller than the sum of its proper divisors (168124824).

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

86364216 is a wasteful number, since it uses less digits than its factorization.

86364216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1966 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 86364216 is about 9293.2349588289. The cubic root of 86364216 is about 442.0227392873.

The spelling of 86364216 in words is "eighty-six million, three hundred sixty-four thousand, two hundred sixteen".