86312200 has 96 divisors (see below), whose sum is σ = 219126600. Its totient is φ = 31426560.

The previous prime is 86312197. The next prime is 86312251. The reversal of 86312200 is 221368.

It can be written as a sum of positive squares in 12 ways, for example, as 675684 + 85636516 = 822^2 + 9254^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231214 + ... + 231586.

Almost surely, 2^86312200 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 86312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109563300).

86312200 is an abundant number, since it is smaller than the sum of its proper divisors (132814400).

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

86312200 is a wasteful number, since it uses less digits than its factorization.

86312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 482 counting only the distinct ones).

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

The square root of 86312200 is about 9290.4359424087. The cubic root of 86312200 is about 441.9339800249.

Adding to 86312200 its reverse (221368), we get a palindrome (86533568).

The spelling of 86312200 in words is "eighty-six million, three hundred twelve thousand, two hundred".