242706688 has 144 divisors (see below), whose sum is σ = 607509504. Its totient is φ = 94371840.

The previous prime is 242706683. The next prime is 242706697. The reversal of 242706688 is 886607242.

It is not an unprimeable number, because it can be changed into a prime (242706683) 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, 944256 + ... + 944512.

It is an arithmetic number, because the mean of its divisors is an integer number (4218816).

Almost surely, 2^242706688 is an apocalyptic number.

242706688 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 242706688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303754752).

242706688 is an abundant number, since it is smaller than the sum of its proper divisors (364802816).

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

242706688 is a wasteful number, since it uses less digits than its factorization.

242706688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 242706688 is about 15579.0464406523. The cubic root of 242706688 is about 623.7739702945.

The spelling of 242706688 in words is "two hundred forty-two million, seven hundred six thousand, six hundred eighty-eight".