87533860 has 72 divisors (see below), whose sum is σ = 198555840. Its totient is φ = 32351616.

The previous prime is 87533857. The next prime is 87533879. The reversal of 87533860 is 6833578.

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, 629671 + ... + 629809.

It is an arithmetic number, because the mean of its divisors is an integer number (2757720).

Almost surely, 2^87533860 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 87533860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99277920).

87533860 is an abundant number, since it is smaller than the sum of its proper divisors (111021980).

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

87533860 is a wasteful number, since it uses less digits than its factorization.

87533860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 87533860 is about 9355.9531850047. The cubic root of 87533860 is about 444.0092590662.

The spelling of 87533860 in words is "eighty-seven million, five hundred thirty-three thousand, eight hundred sixty".