168936768 has 336 divisors, whose sum is σ = 652369536. Its totient is φ = 40366080.

The previous prime is 168936767. The next prime is 168936787. The reversal of 168936768 is 867639861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168936767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576430 + ... + 576722.

It is an arithmetic number, because the mean of its divisors is an integer number (1941576).

Almost surely, 2^168936768 is an apocalyptic number.

168936768 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 168936768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326184768).

168936768 is an abundant number, since it is smaller than the sum of its proper divisors (483432768).

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

168936768 is a wasteful number, since it uses less digits than its factorization.

168936768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 168936768 is about 12997.5677724719. The cubic root of 168936768 is about 552.8085190210.

The spelling of 168936768 in words is "one hundred sixty-eight million, nine hundred thirty-six thousand, seven hundred sixty-eight".