168864768 has 132 divisors (see below), whose sum is σ = 496241928. Its totient is φ = 55296000.

The previous prime is 168864763. The next prime is 168864769. The reversal of 168864768 is 867468861.

168864768 is a `hidden beast` number, since 168 + 8 + 6 + 476 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (168864763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 672643 + ... + 672893.

Almost surely, 2^168864768 is an apocalyptic number.

168864768 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 168864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248120964).

168864768 is an abundant number, since it is smaller than the sum of its proper divisors (327377160).

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

168864768 is a wasteful number, since it uses less digits than its factorization.

168864768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 329 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 168864768 is about 12994.7977283219. The cubic root of 168864768 is about 552.7299731254.

The spelling of 168864768 in words is "one hundred sixty-eight million, eight hundred sixty-four thousand, seven hundred sixty-eight".