87588864 has 192 divisors, whose sum is σ = 286256880. Its totient is φ = 26542080.

The previous prime is 87588859. The next prime is 87588869. The reversal of 87588864 is 46888578.

It is an interprime number because it is at equal distance from previous prime (87588859) and next prime (87588869).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3440640) is a multiple of the sum of its prime divisors (16).

It is a self number, because there is not a number n which added to its sum of digits gives 87588864.

It is not an unprimeable number, because it can be changed into a prime (87588869) 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, 7962619 + ... + 7962629.

Almost surely, 2^87588864 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 87588864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143128440).

87588864 is an abundant number, since it is smaller than the sum of its proper divisors (198668016).

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

87588864 is an frugal number, since it uses more digits than its factorization.

87588864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 16 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 87588864 is about 9358.8922421406. The cubic root of 87588864 is about 444.1022408815.

The spelling of 87588864 in words is "eighty-seven million, five hundred eighty-eight thousand, eight hundred sixty-four".