86044200 has 96 divisors (see below), whose sum is σ = 291008160. Its totient is φ = 20857600.

The previous prime is 86044187. The next prime is 86044201. The reversal of 86044200 is 244068.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (86044201) 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, 82 + ... + 13118.

It is an arithmetic number, because the mean of its divisors is an integer number (3031335).

Almost surely, 2^86044200 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 86044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145504080).

86044200 is an abundant number, since it is smaller than the sum of its proper divisors (204963960).

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

86044200 is a wasteful number, since it uses less digits than its factorization.

86044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13067 (or 13058 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 86044200 is about 9276.0012936610. The cubic root of 86044200 is about 441.4761030678.

Subtracting from 86044200 its sum of digits (24), we obtain a square (86044176 = 9276²).

Adding to 86044200 its reverse (244068), we get a palindrome (86288268).

The spelling of 86044200 in words is "eighty-six million, forty-four thousand, two hundred".