86106200 has 48 divisors (see below), whose sum is σ = 201080880. Its totient is φ = 34290560.

The previous prime is 86106199. The next prime is 86106211. The reversal of 86106200 is 260168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51782 + ... + 53418.

It is an arithmetic number, because the mean of its divisors is an integer number (4189185).

Almost surely, 2^86106200 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 86106200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100540440).

86106200 is an abundant number, since it is smaller than the sum of its proper divisors (114974680).

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

86106200 is a wasteful number, since it uses less digits than its factorization.

86106200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 86106200 is about 9279.3426491320. The cubic root of 86106200 is about 441.5821142681.

Adding to 86106200 its reverse (260168), we get a palindrome (86366368).

The spelling of 86106200 in words is "eighty-six million, one hundred six thousand, two hundred".