8182768 has 40 divisors (see below), whose sum is σ = 18213120. Its totient is φ = 3522240.

The previous prime is 8182753. The next prime is 8182781. The reversal of 8182768 is 8672818.

It is a self number, because there is not a number n which added to its sum of digits gives 8182768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2121 + ... + 4567.

It is an arithmetic number, because the mean of its divisors is an integer number (455328).

Almost surely, 2^8182768 is an apocalyptic number.

8182768 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 8182768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106560).

8182768 is an abundant number, since it is smaller than the sum of its proper divisors (10030352).

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

8182768 is a wasteful number, since it uses less digits than its factorization.

8182768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2479 counting only the distinct ones).

The product of its digits is 43008, while the sum is 40.

The square root of 8182768 is about 2860.5537925374. The cubic root of 8182768 is about 201.5116130138.

The spelling of 8182768 in words is "eight million, one hundred eighty-two thousand, seven hundred sixty-eight".