86195900 has 90 divisors (see below), whose sum is σ = 218814120. Its totient is φ = 29470560.

The previous prime is 86195891. The next prime is 86195909. The reversal of 86195900 is 959168.

It is an interprime number because it is at equal distance from previous prime (86195891) and next prime (86195909).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86195909) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 239921 + ... + 240279.

It is an arithmetic number, because the mean of its divisors is an integer number (2431268).

Almost surely, 2^86195900 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 86195900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109407060).

86195900 is an abundant number, since it is smaller than the sum of its proper divisors (132618220).

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

86195900 is a wasteful number, since it uses less digits than its factorization.

86195900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 86195900 is about 9284.1747075332. The cubic root of 86195900 is about 441.7353985040.

The spelling of 86195900 in words is "eighty-six million, one hundred ninety-five thousand, nine hundred".