86349186 has 128 divisors (see below), whose sum is σ = 252057600. Its totient is φ = 21228480.

The previous prime is 86349181. The next prime is 86349209. The reversal of 86349186 is 68194368.

86349186 is a `hidden beast` number, since 8 + 634 + 9 + 1 + 8 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (86349181) 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 63 ways as a sum of consecutive naturals, for example, 78456 + ... + 79548.

It is an arithmetic number, because the mean of its divisors is an integer number (1969200).

Almost surely, 2^86349186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86349186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126028800).

86349186 is an abundant number, since it is smaller than the sum of its proper divisors (165708414).

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

86349186 is a wasteful number, since it uses less digits than its factorization.

86349186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1135 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 86349186 is about 9292.4262708939. The cubic root of 86349186 is about 441.9970960000.

The spelling of 86349186 in words is "eighty-six million, three hundred forty-nine thousand, one hundred eighty-six".