86209800 has 96 divisors (see below), whose sum is σ = 272393280. Its totient is φ = 22547200.

The previous prime is 86209789. The next prime is 86209807. The reversal of 86209800 is 890268.

It is not an unprimeable number, because it can be changed into a prime (86209807) 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, 30445 + ... + 33155.

It is an arithmetic number, because the mean of its divisors is an integer number (2837430).

Almost surely, 2^86209800 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 86209800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136196640).

86209800 is an abundant number, since it is smaller than the sum of its proper divisors (186183480).

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

86209800 is a wasteful number, since it uses less digits than its factorization.

86209800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 86209800 is about 9284.9232630108. The cubic root of 86209800 is about 441.7591420619.

The spelling of 86209800 in words is "eighty-six million, two hundred nine thousand, eight hundred".