86397168 has 160 divisors (see below), whose sum is σ = 269482752. Its totient is φ = 23500800.

The previous prime is 86397163. The next prime is 86397169. The reversal of 86397168 is 86179368.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86397163) 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 31 ways as a sum of consecutive naturals, for example, 281271 + ... + 281577.

Almost surely, 2^86397168 is an apocalyptic number.

86397168 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 86397168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134741376).

86397168 is an abundant number, since it is smaller than the sum of its proper divisors (183085584).

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

86397168 is a wasteful number, since it uses less digits than its factorization.

86397168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 86397168 is about 9295.0076923045. The cubic root of 86397168 is about 442.0789496094.

The spelling of 86397168 in words is "eighty-six million, three hundred ninety-seven thousand, one hundred sixty-eight".