87480 has 64 divisors (see below), whose sum is σ = 295200. Its totient is φ = 23328.

The previous prime is 87473. The next prime is 87481. The reversal of 87480 is 8478.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87481) by changing a digit.

87480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17494 + ... + 17498.

2⁸⁷⁴⁸⁰ 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 87480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147600).

87480 is an abundant number, since it is smaller than the sum of its proper divisors (207720).

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

87480 is an equidigital number, since it uses as much as digits as its factorization.

87480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 87480 is about 295.7701810528. The cubic root of 87480 is about 44.3918173379.

87480 divided by its sum of digits (27) gives a triangular number (3240 = T₈₀).

The spelling of 87480 in words is "eighty-seven thousand, four hundred eighty".