86168500 has 48 divisors (see below), whose sum is σ = 205313472. Its totient is φ = 31332000.

The previous prime is 86168473. The next prime is 86168521. The reversal of 86168500 is 586168.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2334 + ... + 13333.

It is an arithmetic number, because the mean of its divisors is an integer number (4277364).

Almost surely, 2^86168500 is an apocalyptic number.

It is an amenable number.

86168500 is an abundant number, since it is smaller than the sum of its proper divisors (119144972).

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

86168500 is a wasteful number, since it uses less digits than its factorization.

86168500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15697 (or 15685 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 86168500 is about 9282.6989609703. The cubic root of 86168500 is about 441.6885871799.

It can be divided in two parts, 86168 and 500, that added together give a palindrome (86668).

The spelling of 86168500 in words is "eighty-six million, one hundred sixty-eight thousand, five hundred".