168045768 has 72 divisors (see below), whose sum is σ = 500286150. Its totient is φ = 50920320.

The previous prime is 168045743. The next prime is 168045769. The reversal of 168045768 is 867540861.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 130370724 + 37675044 = 11418^2 + 6138^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (168045769) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 933 + ... + 18356.

Almost surely, 2^168045768 is an apocalyptic number.

168045768 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 168045768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250143075).

168045768 is an abundant number, since it is smaller than the sum of its proper divisors (332240382).

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

168045768 is a wasteful number, since it uses less digits than its factorization.

168045768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19323 (or 19305 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 168045768 is about 12963.2468155166. The cubic root of 168045768 is about 551.8349380448.

The spelling of 168045768 in words is "one hundred sixty-eight million, forty-five thousand, seven hundred sixty-eight".