87983984 has 80 divisors (see below), whose sum is σ = 198737280. Its totient is φ = 37313280.

The previous prime is 87983971. The next prime is 87983989. The reversal of 87983984 is 48938978.

Its product of digits (3483648) is a multiple of the sum of its prime divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87983989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277394 + ... + 277710.

It is an arithmetic number, because the mean of its divisors is an integer number (2484216).

Almost surely, 2^87983984 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 87983984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99368640).

87983984 is an abundant number, since it is smaller than the sum of its proper divisors (110753296).

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

87983984 is a wasteful number, since it uses less digits than its factorization.

87983984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 56.

The square root of 87983984 is about 9379.9778251337. The cubic root of 87983984 is about 444.7690321849.

The spelling of 87983984 in words is "eighty-seven million, nine hundred eighty-three thousand, nine hundred eighty-four".