82160 has 40 divisors (see below), whose sum is σ = 208320. Its totient is φ = 29952.

The previous prime is 82153. The next prime is 82163. The reversal of 82160 is 6128.

82160 = T₁ + T₂ + ... + T₇₈.

82160 is a nontrivial binomial coefficient, being equal to C(80, 3).

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82163) by changing a digit.

82160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 78-th tetrahedral number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1001 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2⁸²¹⁶⁰ is an apocalyptic number.

82160 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 82160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104160).

82160 is an abundant number, since it is smaller than the sum of its proper divisors (126160).

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

82160 is a wasteful number, since it uses less digits than its factorization.

82160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 82160 is about 286.6356572375. The cubic root of 82160 is about 43.4730532893.

Adding to 82160 its reverse (6128), we get a palindrome (88288).

It can be divided in two parts, 82 and 160, that added together give a palindrome (242).

The spelling of 82160 in words is "eighty-two thousand, one hundred sixty".