86889168 has 60 divisors (see below), whose sum is σ = 249116868. Its totient is φ = 28254720.

The previous prime is 86889157. The next prime is 86889181. The reversal of 86889168 is 86198868.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 74442384 = 3528^2 + 8628^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1455 + ... + 13262.

Almost surely, 2^86889168 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 86889168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124558434).

86889168 is an abundant number, since it is smaller than the sum of its proper divisors (162227700).

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

86889168 is a wasteful number, since it uses less digits than its factorization.

86889168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14772 (or 14763 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 86889168 is about 9321.4359408838. The cubic root of 86889168 is about 442.9165205751.

The spelling of 86889168 in words is "eighty-six million, eight hundred eighty-nine thousand, one hundred sixty-eight".