86396200 has 96 divisors (see below), whose sum is σ = 221369760. Its totient is φ = 31097600.

The previous prime is 86396197. The next prime is 86396207. The reversal of 86396200 is 269368.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (86396207) by changing a digit.

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, 380487 + ... + 380713.

It is an arithmetic number, because the mean of its divisors is an integer number (2305935).

Almost surely, 2^86396200 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 86396200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110684880).

86396200 is an abundant number, since it is smaller than the sum of its proper divisors (134973560).

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

86396200 is a wasteful number, since it uses less digits than its factorization.

86396200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 86396200 is about 9294.9556211958. The cubic root of 86396200 is about 442.0772985753.

The spelling of 86396200 in words is "eighty-six million, three hundred ninety-six thousand, two hundred".