87216384 has 144 divisors (see below), whose sum is σ = 251820800. Its totient is φ = 26707968.

The previous prime is 87216359. The next prime is 87216401. The reversal of 87216384 is 48361278.

It is a super-3 number, since 3×87216384³ (a number of 25 digits) contains 333 as substring.

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, 627387 + ... + 627525.

Almost surely, 2^87216384 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 87216384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125910400).

87216384 is an abundant number, since it is smaller than the sum of its proper divisors (164604416).

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

87216384 is a wasteful number, since it uses less digits than its factorization.

87216384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 87216384 is about 9338.9712495542. The cubic root of 87216384 is about 443.4718173411.

The spelling of 87216384 in words is "eighty-seven million, two hundred sixteen thousand, three hundred eighty-four".