12819168 has 96 divisors (see below), whose sum is σ = 38495520. Its totient is φ = 4147200.

The previous prime is 12819137. The next prime is 12819179. The reversal of 12819168 is 86191821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 31768 + ... + 32168.

It is an arithmetic number, because the mean of its divisors is an integer number (400995).

Almost surely, 2^12819168 is an apocalyptic number.

12819168 is a gapful number since it is divisible by the number (18) 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 12819168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247760).

12819168 is an abundant number, since it is smaller than the sum of its proper divisors (25676352).

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

12819168 is a wasteful number, since it uses less digits than its factorization.

12819168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 443 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 12819168 is about 3580.3865713076. The cubic root of 12819168 is about 234.0381265949.

The spelling of 12819168 in words is "twelve million, eight hundred nineteen thousand, one hundred sixty-eight".