87536128 has 80 divisors (see below), whose sum is σ = 188927640. Its totient is φ = 40370176.

The previous prime is 87536101. The next prime is 87536129. The reversal of 87536128 is 82163578.

It can be written as a sum of positive squares in 4 ways, for example, as 47997184 + 39538944 = 6928^2 + 6288^2 .

It is not an unprimeable number, because it can be changed into a prime (87536129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 774600 + ... + 774712.

Almost surely, 2^87536128 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 87536128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94463820).

87536128 is an abundant number, since it is smaller than the sum of its proper divisors (101391512).

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

87536128 is a wasteful number, since it uses less digits than its factorization.

87536128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 87536128 is about 9356.0743904695. The cubic root of 87536128 is about 444.0130937891.

The spelling of 87536128 in words is "eighty-seven million, five hundred thirty-six thousand, one hundred twenty-eight".