8168864 has 48 divisors (see below), whose sum is σ = 18325440. Its totient is φ = 3548160.

The previous prime is 8168851. The next prime is 8168873. The reversal of 8168864 is 4688618.

It is a super-3 number, since 3×8168864³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7592 + ... + 8600.

It is an arithmetic number, because the mean of its divisors is an integer number (381780).

Almost surely, 2^8168864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8168864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9162720).

8168864 is an abundant number, since it is smaller than the sum of its proper divisors (10156576).

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

8168864 is a wasteful number, since it uses less digits than its factorization.

8168864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1045 counting only the distinct ones).

The product of its digits is 73728, while the sum is 41.

The square root of 8168864 is about 2858.1224606374. The cubic root of 8168864 is about 201.3974134383.

The spelling of 8168864 in words is "eight million, one hundred sixty-eight thousand, eight hundred sixty-four".