87984684 has 48 divisors (see below), whose sum is σ = 229605600. Its totient is φ = 29135808.

The previous prime is 87984671. The next prime is 87984697. The reversal of 87984684 is 48648978.

It is an interprime number because it is at equal distance from previous prime (87984671) and next prime (87984697).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 87984684.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14362 + ... + 19550.

It is an arithmetic number, because the mean of its divisors is an integer number (4783450).

Almost surely, 2^87984684 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 87984684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114802800).

87984684 is an abundant number, since it is smaller than the sum of its proper divisors (141620916).

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

87984684 is a wasteful number, since it uses less digits than its factorization.

87984684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359 (or 5351 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 87984684 is about 9380.0151385805. The cubic root of 87984684 is about 444.7702117083.

The spelling of 87984684 in words is "eighty-seven million, nine hundred eighty-four thousand, six hundred eighty-four".