87016600 has 96 divisors (see below), whose sum is σ = 226882800. Its totient is φ = 30758400.

The previous prime is 87016583. The next prime is 87016603. The reversal of 87016600 is 661078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87016603) by changing a digit.

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, 80866 + ... + 81934.

Almost surely, 2^87016600 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 87016600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113441400).

87016600 is an abundant number, since it is smaller than the sum of its proper divisors (139866200).

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

87016600 is a wasteful number, since it uses less digits than its factorization.

87016600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 87016600 is about 9328.2688640497. The cubic root of 87016600 is about 443.1329425191.

Adding to 87016600 its reverse (661078), we get a palindrome (87677678).

It can be divided in two parts, 87016 and 600, that added together give a square (87616 = 296²).

The spelling of 87016600 in words is "eighty-seven million, sixteen thousand, six hundred".