242168064 has 72 divisors (see below), whose sum is σ = 658331520. Its totient is φ = 78993408.

The previous prime is 242168027. The next prime is 242168089. The reversal of 242168064 is 460861242.

242168064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32742 + ... + 39450.

Almost surely, 2^242168064 is an apocalyptic number.

242168064 is a gapful number since it is divisible by the number (24) 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 242168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329165760).

242168064 is an abundant number, since it is smaller than the sum of its proper divisors (416163456).

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

242168064 is an equidigital number, since it uses as much as digits as its factorization.

242168064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6775 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 242168064 is about 15561.7500301219. The cubic root of 242168064 is about 623.3121941478.

The spelling of 242168064 in words is "two hundred forty-two million, one hundred sixty-eight thousand, sixty-four".