85320 has 64 divisors (see below), whose sum is σ = 288000. Its totient is φ = 22464.

The previous prime is 85313. The next prime is 85331. The reversal of 85320 is 2358.

85320 = T₁ + T₂ + ... + T₇₉.

85320 is a nontrivial binomial coefficient, being equal to C(81, 3).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 85293 and 85302.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85320.

It is an unprimeable number.

85320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 79-th tetrahedral number.

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 15 ways as a sum of consecutive naturals, for example, 1041 + ... + 1119.

It is an arithmetic number, because the mean of its divisors is an integer number (4500).

2⁸⁵³²⁰ 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 85320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144000).

85320 is an abundant number, since it is smaller than the sum of its proper divisors (202680).

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

85320 is a wasteful number, since it uses less digits than its factorization.

85320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 85320 is about 292.0958746713. The cubic root of 85320 is about 44.0234035275.

Multiplying 85320 by its product of nonzero digits (240), we get a triangular number (20476800 = T₆₃₉₉).

Adding to 85320 its reverse (2358), we get a palindrome (87678).

The spelling of 85320 in words is "eighty-five thousand, three hundred twenty".