86575168 has 56 divisors (see below), whose sum is σ = 177787808. Its totient is φ = 41803776.

The previous prime is 86575163. The next prime is 86575187. The reversal of 86575168 is 86157568.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 86575168 = 232³ + 420³ = 294³ + 394³.

It is not an unprimeable number, because it can be changed into a prime (86575163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448480 + ... + 448672.

Almost surely, 2^86575168 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 86575168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88893904).

86575168 is an abundant number, since it is smaller than the sum of its proper divisors (91212640).

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

86575168 is a wasteful number, since it uses less digits than its factorization.

86575168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its digits is 403200, while the sum is 46.

The square root of 86575168 is about 9304.5777980519. The cubic root of 86575168 is about 442.3823394703.

The spelling of 86575168 in words is "eighty-six million, five hundred seventy-five thousand, one hundred sixty-eight".