87508500 has 96 divisors (see below), whose sum is σ = 256943232. Its totient is φ = 23142400.

The previous prime is 87508489. The next prime is 87508507. The reversal of 87508500 is 580578.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87508507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340372 + ... + 340628.

It is an arithmetic number, because the mean of its divisors is an integer number (2676492).

Almost surely, 2^87508500 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 87508500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128471616).

87508500 is an abundant number, since it is smaller than the sum of its proper divisors (169434732).

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

87508500 is a wasteful number, since it uses less digits than its factorization.

87508500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 87508500 is about 9354.5978000126. The cubic root of 87508500 is about 443.9663759944.

The spelling of 87508500 in words is "eighty-seven million, five hundred eight thousand, five hundred".