87180 has 24 divisors (see below), whose sum is σ = 244272. Its totient is φ = 23232.

The previous prime is 87179. The next prime is 87181. The reversal of 87180 is 8178.

It is an interprime number because it is at equal distance from previous prime (87179) and next prime (87181).

It is a self number, because there is not a number n which added to its sum of digits gives 87180.

It is not an unprimeable number, because it can be changed into a prime (87181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 667 + ... + 786.

It is an arithmetic number, because the mean of its divisors is an integer number (10178).

2⁸⁷¹⁸⁰ is an apocalyptic number.

It is an amenable number.

87180 is an abundant number, since it is smaller than the sum of its proper divisors (157092).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122136).

87180 is a wasteful number, since it uses less digits than its factorization.

87180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 87180 is about 295.2625949896. The cubic root of 87180 is about 44.3410141151.

The spelling of 87180 in words is "eighty-seven thousand, one hundred eighty".