242601567 has 24 divisors (see below), whose sum is σ = 360006192. Its totient is φ = 144455040.

The previous prime is 242601553. The next prime is 242601599. The reversal of 242601567 is 765106242.

It is not a de Polignac number, because 242601567 - 2⁶ = 242601503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242601547) 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 23 ways as a sum of consecutive naturals, for example, 34243 + ... + 40715.

It is an arithmetic number, because the mean of its divisors is an integer number (15000258).

Almost surely, 2^242601567 is an apocalyptic number.

242601567 is a deficient number, since it is larger than the sum of its proper divisors (117404625).

242601567 is a wasteful number, since it uses less digits than its factorization.

242601567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6551 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 242601567 is about 15575.6722808359. The cubic root of 242601567 is about 623.6839010657.

The spelling of 242601567 in words is "two hundred forty-two million, six hundred one thousand, five hundred sixty-seven".