87555616 has 48 divisors (see below), whose sum is σ = 179636184. Its totient is φ = 41969664.

The previous prime is 87555607. The next prime is 87555647. The reversal of 87555616 is 61655578.

It can be written as a sum of positive squares in 4 ways, for example, as 67305616 + 20250000 = 8204^2 + 4500^2 .

Its product of digits (252000) is a multiple of the sum of its prime divisors (1125).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85926 + ... + 86938.

Almost surely, 2^87555616 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 87555616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89818092).

87555616 is an abundant number, since it is smaller than the sum of its proper divisors (92080568).

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

87555616 is a wasteful number, since it uses less digits than its factorization.

87555616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1125 counting only the distinct ones).

The product of its digits is 252000, while the sum is 43.

The square root of 87555616 is about 9357.1157949445. The cubic root of 87555616 is about 444.0460412716.

The spelling of 87555616 in words is "eighty-seven million, five hundred fifty-five thousand, six hundred sixteen".