87884500 has 144 divisors (see below), whose sum is σ = 228271680. Its totient is φ = 29232000.

The previous prime is 87884497. The next prime is 87884513. The reversal of 87884500 is 548878.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3030486 + ... + 3030514.

It is an arithmetic number, because the mean of its divisors is an integer number (1585220).

Almost surely, 2^87884500 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 87884500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114135840).

87884500 is an abundant number, since it is smaller than the sum of its proper divisors (140387180).

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

87884500 is a wasteful number, since it uses less digits than its factorization.

87884500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 87884500 is about 9374.6733276419. The cubic root of 87884500 is about 444.6013346571.

The spelling of 87884500 in words is "eighty-seven million, eight hundred eighty-four thousand, five hundred".