87821184 has 128 divisors (see below), whose sum is σ = 269671680. Its totient is φ = 25026560.

The previous prime is 87821177. The next prime is 87821203. The reversal of 87821184 is 48112878.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 71197 + ... + 72419.

It is an arithmetic number, because the mean of its divisors is an integer number (2106810).

Almost surely, 2^87821184 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 87821184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134835840).

87821184 is an abundant number, since it is smaller than the sum of its proper divisors (181850496).

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

87821184 is a wasteful number, since it uses less digits than its factorization.

87821184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1256 counting only the distinct ones).

The product of its digits is 28672, while the sum is 39.

The square root of 87821184 is about 9371.2957481877. The cubic root of 87821184 is about 444.4945386499.

The spelling of 87821184 in words is "eighty-seven million, eight hundred twenty-one thousand, one hundred eighty-four".