87085608 has 64 divisors (see below), whose sum is σ = 226670400. Its totient is φ = 27847680.

The previous prime is 87085561. The next prime is 87085631. The reversal of 87085608 is 80658078.

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 87085608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146560 + ... + 147152.

It is an arithmetic number, because the mean of its divisors is an integer number (3541725).

Almost surely, 2^87085608 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 87085608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113335200).

87085608 is an abundant number, since it is smaller than the sum of its proper divisors (139584792).

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

87085608 is a wasteful number, since it uses less digits than its factorization.

87085608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 87085608 is about 9331.9669952267. The cubic root of 87085608 is about 443.2500528864.

The spelling of 87085608 in words is "eighty-seven million, eighty-five thousand, six hundred eight".