85120 has 64 divisors (see below), whose sum is σ = 244800. Its totient is φ = 27648.

The previous prime is 85109. The next prime is 85121. The reversal of 85120 is 2158.

85120 = T₈₅ + T₈₆ + ... + T₁₀₃.

It is a happy number.

85120 is nontrivially palindromic in base 12.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 85094 and 85103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4471 + ... + 4489.

It is an arithmetic number, because the mean of its divisors is an integer number (3825).

2⁸⁵¹²⁰ is an apocalyptic number.

85120 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 85120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122400).

85120 is an abundant number, since it is smaller than the sum of its proper divisors (159680).

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

85120 is a wasteful number, since it uses less digits than its factorization.

85120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 85120 is about 291.7533204610. The cubic root of 85120 is about 43.9889779555.

Adding to 85120 its reverse (2158), we get a palindrome (87278).

It can be divided in two parts, 851 and 20, that multiplied together give a triangular number (17020 = T₁₈₄).

The spelling of 85120 in words is "eighty-five thousand, one hundred twenty".