86646168 has 48 divisors (see below), whose sum is σ = 268192080. Its totient is φ = 24755904.

The previous prime is 86646167. The next prime is 86646191. The reversal of 86646168 is 86164668.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86646163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85455 + ... + 86462.

It is an arithmetic number, because the mean of its divisors is an integer number (5587335).

Almost surely, 2^86646168 is an apocalyptic number.

It is an amenable number.

86646168 is an abundant number, since it is smaller than the sum of its proper divisors (181545912).

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

86646168 is a wasteful number, since it uses less digits than its factorization.

86646168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171936 (or 171929 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 86646168 is about 9308.3923423973. The cubic root of 86646168 is about 442.5032385093.

The spelling of 86646168 in words is "eighty-six million, six hundred forty-six thousand, one hundred sixty-eight".