242319168 has 448 divisors, whose sum is σ = 928542720. Its totient is φ = 60217344.

The previous prime is 242319167. The next prime is 242319199. The reversal of 242319168 is 861913242.

It is a tau number, because it is divible by the number of its divisors (448).

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 not an unprimeable number, because it can be changed into a prime (242319167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3616671 + ... + 3616737.

It is an arithmetic number, because the mean of its divisors is an integer number (2072640).

Almost surely, 2^242319168 is an apocalyptic number.

242319168 is a gapful number since it is divisible by the number (28) 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 242319168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464271360).

242319168 is an abundant number, since it is smaller than the sum of its proper divisors (686223552).

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

242319168 is a wasteful number, since it uses less digits than its factorization.

242319168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 242319168 is about 15566.6042539791. The cubic root of 242319168 is about 623.4418085179.

The spelling of 242319168 in words is "two hundred forty-two million, three hundred nineteen thousand, one hundred sixty-eight".