82832160 has 96 divisors (see below), whose sum is σ = 276296832. Its totient is φ = 20787200.

The previous prime is 82832137. The next prime is 82832161. The reversal of 82832160 is 6123828.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×82832160² = 13722333460531200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (82832161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3085 + ... + 13235.

It is an arithmetic number, because the mean of its divisors is an integer number (2878092).

Almost surely, 2^82832160 is an apocalyptic number.

82832160 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 82832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138148416).

82832160 is an abundant number, since it is smaller than the sum of its proper divisors (193464672).

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

82832160 is a wasteful number, since it uses less digits than its factorization.

82832160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10186 (or 10178 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 82832160 is about 9101.2175009721. The cubic root of 82832160 is about 435.9128406421.

Adding to 82832160 its reverse (6123828), we get a palindrome (88955988).

The spelling of 82832160 in words is "eighty-two million, eight hundred thirty-two thousand, one hundred sixty".