82811168 has 48 divisors (see below), whose sum is σ = 183617280. Its totient is φ = 36422400.

The previous prime is 82811167. The next prime is 82811171. The reversal of 82811168 is 86111828.

It is not an unprimeable number, because it can be changed into a prime (82811167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7118 + ... + 14706.

It is an arithmetic number, because the mean of its divisors is an integer number (3825360).

Almost surely, 2^82811168 is an apocalyptic number.

82811168 is a gapful number since it is divisible by the number (88) 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 82811168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91808640).

82811168 is an abundant number, since it is smaller than the sum of its proper divisors (100806112).

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

82811168 is a wasteful number, since it uses less digits than its factorization.

82811168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7641 (or 7633 counting only the distinct ones).

The product of its digits is 6144, while the sum is 35.

The square root of 82811168 is about 9100.0641755979. The cubic root of 82811168 is about 435.8760133379.

It can be divided in two parts, 8281 and 1168, that added together give a palindrome (9449).

The spelling of 82811168 in words is "eighty-two million, eight hundred eleven thousand, one hundred sixty-eight".