242216568 has 192 divisors, whose sum is σ = 761080320. Its totient is φ = 71539200.

The previous prime is 242216567. The next prime is 242216599. The reversal of 242216568 is 865612242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (46080) is a multiple of the sum of its prime factors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242216563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1004928 + ... + 1005168.

It is an arithmetic number, because the mean of its divisors is an integer number (3963960).

Almost surely, 2^242216568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242216568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380540160).

242216568 is an abundant number, since it is smaller than the sum of its proper divisors (518863752).

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

242216568 is a wasteful number, since it uses less digits than its factorization.

242216568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 304 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 242216568 is about 15563.3083886428. The cubic root of 242216568 is about 623.3538059055.

The spelling of 242216568 in words is "two hundred forty-two million, two hundred sixteen thousand, five hundred sixty-eight".