87971184 has 100 divisors (see below), whose sum is σ = 291017584. Its totient is φ = 25132032.

The previous prime is 87971171. The next prime is 87971203. The reversal of 87971184 is 48117978.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4224 + ... + 13920.

Almost surely, 2^87971184 is an apocalyptic number.

87971184 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87971184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145508792).

87971184 is an abundant number, since it is smaller than the sum of its proper divisors (203046400).

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

87971184 is a wasteful number, since it uses less digits than its factorization.

87971184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9724 (or 9709 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The square root of 87971184 is about 9379.2954959315. The cubic root of 87971184 is about 444.7474626543.

The spelling of 87971184 in words is "eighty-seven million, nine hundred seventy-one thousand, one hundred eighty-four".