87849216 has 216 divisors, whose sum is σ = 312486720. Its totient is φ = 23113728.

The previous prime is 87849199. The next prime is 87849221. The reversal of 87849216 is 61294878.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209455 + ... + 209873.

Almost surely, 2^87849216 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 87849216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156243360).

87849216 is an abundant number, since it is smaller than the sum of its proper divisors (224637504).

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

87849216 is a wasteful number, since it uses less digits than its factorization.

87849216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 444 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 87849216 is about 9372.7912598116. The cubic root of 87849216 is about 444.5418269572.

The spelling of 87849216 in words is "eighty-seven million, eight hundred forty-nine thousand, two hundred sixteen".