87320 has 32 divisors (see below), whose sum is σ = 205200. Its totient is φ = 33408.

The previous prime is 87317. The next prime is 87323. The reversal of 87320 is 2378.

It is an interprime number because it is at equal distance from previous prime (87317) and next prime (87323).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 87292 and 87301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87323) 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, 1451 + ... + 1509.

2⁸⁷³²⁰ is an apocalyptic number.

It is a pronic number, being equal to 295×296.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102600).

87320 is an abundant number, since it is smaller than the sum of its proper divisors (117880).

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

87320 is a wasteful number, since it uses less digits than its factorization.

87320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 87320 is about 295.4995769879. The cubic root of 87320 is about 44.3647367655.

Adding to 87320 its reverse (2378), we get a palindrome (89698).

The spelling of 87320 in words is "eighty-seven thousand, three hundred twenty".