86686104 has 64 divisors (see below), whose sum is σ = 228096000. Its totient is φ = 27413120.

The previous prime is 86686097. The next prime is 86686109. The reversal of 86686104 is 40168668.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86686109) by changing a digit.

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, 40009 + ... + 42119.

It is an arithmetic number, because the mean of its divisors is an integer number (3564000).

Almost surely, 2^86686104 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 86686104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114048000).

86686104 is an abundant number, since it is smaller than the sum of its proper divisors (141409896).

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

86686104 is a wasteful number, since it uses less digits than its factorization.

86686104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 86686104 is about 9310.5372562490. The cubic root of 86686104 is about 442.5712126444.

The spelling of 86686104 in words is "eighty-six million, six hundred eighty-six thousand, one hundred four".