86384100 has 72 divisors (see below), whose sum is σ = 272670048. Its totient is φ = 20940800.

The previous prime is 86384099. The next prime is 86384141. The reversal of 86384100 is 148368.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9789 + ... + 16388.

It is an arithmetic number, because the mean of its divisors is an integer number (3787084).

Almost surely, 2^86384100 is an apocalyptic number.

It is an amenable number.

86384100 is an abundant number, since it is smaller than the sum of its proper divisors (186285948).

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

86384100 is a wasteful number, since it uses less digits than its factorization.

86384100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26205 (or 26198 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 86384100 is about 9294.3047077229. The cubic root of 86384100 is about 442.0566596080.

The spelling of 86384100 in words is "eighty-six million, three hundred eighty-four thousand, one hundred".