242664768 has 112 divisors (see below), whose sum is σ = 717255360. Its totient is φ = 80451072.

The previous prime is 242664767. The next prime is 242664769. The reversal of 242664768 is 867466242.

It is an interprime number because it is at equal distance from previous prime (242664767) and next prime (242664769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242664767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547555 + ... + 547997.

Almost surely, 2^242664768 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 242664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358627680).

242664768 is an abundant number, since it is smaller than the sum of its proper divisors (474590592).

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

242664768 is a wasteful number, since it uses less digits than its factorization.

242664768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 765 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 242664768 is about 15577.7009857039. The cubic root of 242664768 is about 623.7380557362.

The spelling of 242664768 in words is "two hundred forty-two million, six hundred sixty-four thousand, seven hundred sixty-eight".