87520860 has 108 divisors (see below), whose sum is σ = 308854728. Its totient is φ = 20002752.

The previous prime is 87520841. The next prime is 87520871. The reversal of 87520860 is 6802578.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3859 + ... + 13781.

It is an arithmetic number, because the mean of its divisors is an integer number (2859766).

Almost surely, 2^87520860 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 87520860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154427364).

87520860 is an abundant number, since it is smaller than the sum of its proper divisors (221333868).

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

87520860 is a wasteful number, since it uses less digits than its factorization.

87520860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9952 (or 9940 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 87520860 is about 9355.2584143892. The cubic root of 87520860 is about 443.9872774538.

The spelling of 87520860 in words is "eighty-seven million, five hundred twenty thousand, eight hundred sixty".