87485320 has 64 divisors (see below), whose sum is σ = 214643520. Its totient is φ = 31897344.

The previous prime is 87485303. The next prime is 87485327. The reversal of 87485320 is 2358478.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 87485320.

It is not an unprimeable number, because it can be changed into a prime (87485327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42147 + ... + 44173.

It is an arithmetic number, because the mean of its divisors is an integer number (3353805).

Almost surely, 2^87485320 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 87485320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107321760).

87485320 is an abundant number, since it is smaller than the sum of its proper divisors (127158200).

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

87485320 is a wasteful number, since it uses less digits than its factorization.

87485320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 87485320 is about 9353.3587550142. The cubic root of 87485320 is about 443.9271719956.

The spelling of 87485320 in words is "eighty-seven million, four hundred eighty-five thousand, three hundred twenty".