86285900 has 36 divisors (see below), whose sum is σ = 188529600. Its totient is φ = 34276800.

The previous prime is 86285891. The next prime is 86285909. The reversal of 86285900 is 958268.

86285900 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (86285891) and next prime (86285909).

It is not an unprimeable number, because it can be changed into a prime (86285909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12005 + ... + 17795.

Almost surely, 2^86285900 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 86285900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94264800).

86285900 is an abundant number, since it is smaller than the sum of its proper divisors (102243700).

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

86285900 is a wasteful number, since it uses less digits than its factorization.

86285900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 86285900 is about 9289.0204004513. The cubic root of 86285900 is about 441.8890885557.

The spelling of 86285900 in words is "eighty-six million, two hundred eighty-five thousand, nine hundred".