87873984 has 280 divisors, whose sum is σ = 300947328. Its totient is φ = 25090560.

The previous prime is 87873959. The next prime is 87874019. The reversal of 87873984 is 48937878.

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 87873984.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1311519 + ... + 1311585.

Almost surely, 2^87873984 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 87873984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150473664).

87873984 is an abundant number, since it is smaller than the sum of its proper divisors (213073344).

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

87873984 is a wasteful number, since it uses less digits than its factorization.

87873984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 87873984 is about 9374.1124379858. The cubic root of 87873984 is about 444.5836007217.

The spelling of 87873984 in words is "eighty-seven million, eight hundred seventy-three thousand, nine hundred eighty-four".