86164224 has 72 divisors (see below), whose sum is σ = 231151872. Its totient is φ = 28492800.

The previous prime is 86164213. The next prime is 86164229. The reversal of 86164224 is 42246168.

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

It is not an unprimeable number, because it can be changed into a prime (86164229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115597 + ... + 116339.

Almost surely, 2^86164224 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 86164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115575936).

86164224 is an abundant number, since it is smaller than the sum of its proper divisors (144987648).

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

86164224 is a wasteful number, since it uses less digits than its factorization.

86164224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 899 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 86164224 is about 9282.4686371676. The cubic root of 86164224 is about 441.6812809847.

The spelling of 86164224 in words is "eighty-six million, one hundred sixty-four thousand, two hundred twenty-four".