86213200 has 60 divisors (see below), whose sum is σ = 216155808. Its totient is φ = 32982400.

The previous prime is 86213167. The next prime is 86213207. The reversal of 86213200 is 231268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86213207) 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, 4515 + ... + 13885.

Almost surely, 2^86213200 is an apocalyptic number.

86213200 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 86213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108077904).

86213200 is an abundant number, since it is smaller than the sum of its proper divisors (129942608).

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

86213200 is a wasteful number, since it uses less digits than its factorization.

86213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9412 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 86213200 is about 9285.1063537258. The cubic root of 86213200 is about 441.7649494501.

Adding to 86213200 its reverse (231268), we get a palindrome (86444468).

The spelling of 86213200 in words is "eighty-six million, two hundred thirteen thousand, two hundred".