82806168 has 32 divisors (see below), whose sum is σ = 207466560. Its totient is φ = 27541920.

The previous prime is 82806149. The next prime is 82806169. The reversal of 82806168 is 86160828.

It is a super-2 number, since 2×82806168² = 13713722917688448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82806169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8271 + ... + 15297.

It is an arithmetic number, because the mean of its divisors is an integer number (6483330).

Almost surely, 2^82806168 is an apocalyptic number.

It is an amenable number.

82806168 is an abundant number, since it is smaller than the sum of its proper divisors (124660392).

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

82806168 is a wasteful number, since it uses less digits than its factorization.

82806168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7527 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 82806168 is about 9099.7894481136. The cubic root of 82806168 is about 435.8672406728.

The spelling of 82806168 in words is "eighty-two million, eight hundred six thousand, one hundred sixty-eight".