87189504 has 96 divisors (see below), whose sum is σ = 242948160. Its totient is φ = 27754496.

The previous prime is 87189503. The next prime is 87189541. The reversal of 87189504 is 40598178.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (87189503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141004 + ... + 141620.

It is an arithmetic number, because the mean of its divisors is an integer number (2530710).

Almost surely, 2^87189504 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 87189504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121474080).

87189504 is an abundant number, since it is smaller than the sum of its proper divisors (155758656).

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

87189504 is a wasteful number, since it uses less digits than its factorization.

87189504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 87189504 is about 9337.5320079773. The cubic root of 87189504 is about 443.4262534737.

The spelling of 87189504 in words is "eighty-seven million, one hundred eighty-nine thousand, five hundred four".