87360 has 112 divisors (see below), whose sum is σ = 341376. Its totient is φ = 18432.

The previous prime is 87359. The next prime is 87383. The reversal of 87360 is 6378.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 87360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6714 + ... + 6726.

It is an arithmetic number, because the mean of its divisors is an integer number (3048).

2⁸⁷³⁶⁰ is an apocalyptic number.

87360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170688).

87360 is an abundant number, since it is smaller than the sum of its proper divisors (254016).

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

87360 is a wasteful number, since it uses less digits than its factorization.

87360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 87360 is about 295.5672512306. The cubic root of 87360 is about 44.3715100079.

The spelling of 87360 in words is "eighty-seven thousand, three hundred sixty".