87927984 has 80 divisors (see below), whose sum is σ = 259254240. Its totient is φ = 28512000.

The previous prime is 87927979. The next prime is 87928013. The reversal of 87927984 is 48972978.

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 87927984.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13234 + ... + 18734.

It is an arithmetic number, because the mean of its divisors is an integer number (3240678).

Almost surely, 2^87927984 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 87927984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129627120).

87927984 is an abundant number, since it is smaller than the sum of its proper divisors (171326256).

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

87927984 is a wasteful number, since it uses less digits than its factorization.

87927984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555 (or 5543 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 87927984 is about 9376.9922683129. The cubic root of 87927984 is about 444.6746500378.

The spelling of 87927984 in words is "eighty-seven million, nine hundred twenty-seven thousand, nine hundred eighty-four".