168242688 has 120 divisors (see below), whose sum is σ = 502702200. Its totient is φ = 54104064.

The previous prime is 168242653. The next prime is 168242719. The reversal of 168242688 is 886242861.

168242688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133003 + ... + 134261.

It is an arithmetic number, because the mean of its divisors is an integer number (4189185).

Almost surely, 2^168242688 is an apocalyptic number.

168242688 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 168242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251351100).

168242688 is an abundant number, since it is smaller than the sum of its proper divisors (334459512).

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

168242688 is a wasteful number, since it uses less digits than its factorization.

168242688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1293 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 168242688 is about 12970.8399111237. The cubic root of 168242688 is about 552.0504049750.

The spelling of 168242688 in words is "one hundred sixty-eight million, two hundred forty-two thousand, six hundred eighty-eight".