86322368 has 84 divisors (see below), whose sum is σ = 192152016. Its totient is φ = 38438400.

The previous prime is 86322367. The next prime is 86322449.

It is a happy number.

86322368 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (86322361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 549746 + ... + 549902.

It is an arithmetic number, because the mean of its divisors is an integer number (2287524).

Almost surely, 2^86322368 is an apocalyptic number.

86322368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86322368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96076008).

86322368 is an abundant number, since it is smaller than the sum of its proper divisors (105829648).

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

86322368 is a wasteful number, since it uses less digits than its factorization.

86322368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 241 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 86322368 is about 9290.9831557268. The cubic root of 86322368 is about 441.9513333394.

The spelling of 86322368 in words is "eighty-six million, three hundred twenty-two thousand, three hundred sixty-eight".