86709168 has 180 divisors, whose sum is σ = 300895920. Its totient is φ = 22823424.

The previous prime is 86709151. The next prime is 86709169. The reversal of 86709168 is 86190768.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (86709169) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 170098 + ... + 170606.

It is an arithmetic number, because the mean of its divisors is an integer number (1671644).

Almost surely, 2^86709168 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 86709168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150447960).

86709168 is an abundant number, since it is smaller than the sum of its proper divisors (214186752).

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

86709168 is a wasteful number, since it uses less digits than its factorization.

86709168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 86709168 is about 9311.7757704962. The cubic root of 86709168 is about 442.6104598318.

Subtracting from 86709168 its reverse (86190768), we obtain a square (518400 = 720²).

The spelling of 86709168 in words is "eighty-six million, seven hundred nine thousand, one hundred sixty-eight".