86987808 has 72 divisors (see below), whose sum is σ = 248347008. Its totient is φ = 28881792.

The previous prime is 86987801. The next prime is 86987821. The reversal of 86987808 is 80878968.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (86987801) 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 11 ways as a sum of consecutive naturals, for example, 105285 + ... + 106107.

It is an arithmetic number, because the mean of its divisors is an integer number (3449264).

It is a vampire number, since it can be written as 8808 ⋅ 9876 (with its own digits).

Almost surely, 2^86987808 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 86987808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124173504).

86987808 is an abundant number, since it is smaller than the sum of its proper divisors (161359200).

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

86987808 is a wasteful number, since it uses less digits than its factorization.

86987808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 86987808 is about 9326.7254703888. The cubic root of 86987808 is about 443.0840626075.

The spelling of 86987808 in words is "eighty-six million, nine hundred eighty-seven thousand, eight hundred eight".