86417200 has 60 divisors (see below), whose sum is σ = 213265120. Its totient is φ = 33626880.

The previous prime is 86417197. The next prime is 86417209. The reversal of 86417200 is 271468.

It is not an unprimeable number, because it can be changed into a prime (86417209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11881 + ... + 17719.

Almost surely, 2^86417200 is an apocalyptic number.

86417200 is a gapful number since it is divisible by the number (80) 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 86417200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106632560).

86417200 is an abundant number, since it is smaller than the sum of its proper divisors (126847920).

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

86417200 is a wasteful number, since it uses less digits than its factorization.

86417200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5894 (or 5883 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 86417200 is about 9296.0851975442. The cubic root of 86417200 is about 442.1131136968.

Adding to 86417200 its reverse (271468), we get a palindrome (86688668).

The spelling of 86417200 in words is "eighty-six million, four hundred seventeen thousand, two hundred".