87993216 has 224 divisors, whose sum is σ = 280944720. Its totient is φ = 27371520.

The previous prime is 87993187. The next prime is 87993263. The reversal of 87993216 is 61239978.

Its product of digits (163296) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2146156 + ... + 2146196.

Almost surely, 2^87993216 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 87993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140472360).

87993216 is an abundant number, since it is smaller than the sum of its proper divisors (192951504).

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

87993216 is an equidigital number, since it uses as much as digits as its factorization.

87993216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 69 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 87993216 is about 9380.4699242629. The cubic root of 87993216 is about 444.7845879103.

It can be divided in two parts, 87993 and 216, that added together give a square (88209 = 297²).

The spelling of 87993216 in words is "eighty-seven million, nine hundred ninety-three thousand, two hundred sixteen".