87560 has 32 divisors (see below), whose sum is σ = 216000. Its totient is φ = 31680.

The previous prime is 87559. The next prime is 87583. The reversal of 87560 is 6578.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87560.

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, 341 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (6750).

2⁸⁷⁵⁶⁰ 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 87560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108000).

87560 is an abundant number, since it is smaller than the sum of its proper divisors (128440).

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

87560 is a wasteful number, since it uses less digits than its factorization.

87560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 87560 is about 295.9053902855. The cubic root of 87560 is about 44.4053452429.

The spelling of 87560 in words is "eighty-seven thousand, five hundred sixty".