87188568 has 64 divisors (see below), whose sum is σ = 232761600. Its totient is φ = 27135360.

The previous prime is 87188533. The next prime is 87188579. The reversal of 87188568 is 86588178.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 87188568.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31030 + ... + 33722.

It is an arithmetic number, because the mean of its divisors is an integer number (3636900).

Almost surely, 2^87188568 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 87188568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116380800).

87188568 is an abundant number, since it is smaller than the sum of its proper divisors (145573032).

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

87188568 is a wasteful number, since it uses less digits than its factorization.

87188568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2788 counting only the distinct ones).

The product of its digits is 860160, while the sum is 51.

The square root of 87188568 is about 9337.4818875326. The cubic root of 87188568 is about 443.4246667060.

The spelling of 87188568 in words is "eighty-seven million, one hundred eighty-eight thousand, five hundred sixty-eight".