82067168 has 24 divisors (see below), whose sum is σ = 166783680. Its totient is φ = 39709440.

The previous prime is 82067159. The next prime is 82067189. The reversal of 82067168 is 86176028.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 40373 + ... + 42356.

It is an arithmetic number, because the mean of its divisors is an integer number (6949320).

Almost surely, 2^82067168 is an apocalyptic number.

It is an amenable number.

82067168 is an abundant number, since it is smaller than the sum of its proper divisors (84716512).

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

82067168 is a wasteful number, since it uses less digits than its factorization.

82067168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82770 (or 82762 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 82067168 is about 9059.0931113440. The cubic root of 82067168 is about 434.5667382080.

It can be divided in two parts, 820 and 67168, that multiplied together give a triangular number (55077760 = T₁₀₄₉₅).

The spelling of 82067168 in words is "eighty-two million, sixty-seven thousand, one hundred sixty-eight".