87660 has 36 divisors (see below), whose sum is σ = 266448. Its totient is φ = 23328.

The previous prime is 87649. The next prime is 87671. The reversal of 87660 is 6678.

It is an interprime number because it is at equal distance from previous prime (87649) and next prime (87671).

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64 + ... + 423.

2⁸⁷⁶⁶⁰ 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 87660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133224).

87660 is an abundant number, since it is smaller than the sum of its proper divisors (178788).

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

87660 is a wasteful number, since it uses less digits than its factorization.

87660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 87660 is about 296.0743149954. The cubic root of 87660 is about 44.4222435417.

Adding to 87660 its product of nonzero digits (2016), we get a triangular number (89676 = T₄₂₃).

It can be divided in two parts, 87 and 660, that added together give a palindrome (747).

The spelling of 87660 in words is "eighty-seven thousand, six hundred sixty".