87081984 has 132 divisors (see below), whose sum is σ = 274625520. Its totient is φ = 26357760.

The previous prime is 87081941. The next prime is 87081989. The reversal of 87081984 is 48918078.

It is a tau number, because it is divible by the number of its divisors (132).

It is not an unprimeable number, because it can be changed into a prime (87081989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100947 + ... + 101805.

Almost surely, 2^87081984 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 87081984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137312760).

87081984 is an abundant number, since it is smaller than the sum of its proper divisors (187543536).

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

87081984 is a wasteful number, since it uses less digits than its factorization.

87081984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 87081984 is about 9331.7728219240. The cubic root of 87081984 is about 443.2439042988.

The spelling of 87081984 in words is "eighty-seven million, eighty-one thousand, nine hundred eighty-four".