86328900 has 216 divisors, whose sum is σ = 315229824. Its totient is φ = 19353600.

The previous prime is 86328899. The next prime is 86328901. The reversal of 86328900 is 982368.

It is an interprime number because it is at equal distance from previous prime (86328899) and next prime (86328901).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86328901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 447204 + ... + 447396.

Almost surely, 2^86328900 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 86328900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157614912).

86328900 is an abundant number, since it is smaller than the sum of its proper divisors (228900924).

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

86328900 is a wasteful number, since it uses less digits than its factorization.

86328900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 86328900 is about 9291.3346726937. The cubic root of 86328900 is about 441.9624805209.

The spelling of 86328900 in words is "eighty-six million, three hundred twenty-eight thousand, nine hundred".