87385800 has 48 divisors (see below), whose sum is σ = 270897840. Its totient is φ = 23302720.

The previous prime is 87385799. The next prime is 87385813. The reversal of 87385800 is 858378.

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, 72222 + ... + 73421.

It is an arithmetic number, because the mean of its divisors is an integer number (5643705).

Almost surely, 2^87385800 is an apocalyptic number.

It is an amenable number.

87385800 is an abundant number, since it is smaller than the sum of its proper divisors (183512040).

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

87385800 is a wasteful number, since it uses less digits than its factorization.

87385800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145662 (or 145653 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 87385800 is about 9348.0372271403. The cubic root of 87385800 is about 443.7587765242.

The spelling of 87385800 in words is "eighty-seven million, three hundred eighty-five thousand, eight hundred".