86089168 has 80 divisors (see below), whose sum is σ = 191237760. Its totient is φ = 37184000.

The previous prime is 86089153. The next prime is 86089169. The reversal of 86089168 is 86198068.

It is a super-2 number, since 2×86089168² = 14822689693864448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86089169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515421 + ... + 515587.

It is an arithmetic number, because the mean of its divisors is an integer number (2390472).

Almost surely, 2^86089168 is an apocalyptic number.

86089168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86089168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618880).

86089168 is an abundant number, since it is smaller than the sum of its proper divisors (105148592).

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

86089168 is a wasteful number, since it uses less digits than its factorization.

86089168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 86089168 is about 9278.4248663229. The cubic root of 86089168 is about 441.5529970364.

Subtracting 86089168 from its reverse (86198068), we obtain a square (108900 = 330²).

The spelling of 86089168 in words is "eighty-six million, eighty-nine thousand, one hundred sixty-eight".