87471216 has 120 divisors (see below), whose sum is σ = 282731904. Its totient is φ = 24727680.

The previous prime is 87471203. The next prime is 87471233. The reversal of 87471216 is 61217478.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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 23 ways as a sum of consecutive naturals, for example, 107451 + ... + 108261.

Almost surely, 2^87471216 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 87471216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141365952).

87471216 is an abundant number, since it is smaller than the sum of its proper divisors (195260688).

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

87471216 is a wasteful number, since it uses less digits than its factorization.

87471216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 930 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 87471216 is about 9352.6047708646. The cubic root of 87471216 is about 443.9033147156.

The spelling of 87471216 in words is "eighty-seven million, four hundred seventy-one thousand, two hundred sixteen".