242160768 has 48 divisors (see below), whose sum is σ = 696846150. Its totient is φ = 80719872.

The previous prime is 242160761. The next prime is 242160781. The reversal of 242160768 is 867061242.

242160768 is a `hidden beast` number, since 2 + 42 + 1 + 607 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 205291584 + 36869184 = 14328^2 + 6072^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (242160761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103953 + ... + 106256.

Almost surely, 2^242160768 is an apocalyptic number.

It is an amenable number.

242160768 is an abundant number, since it is smaller than the sum of its proper divisors (454685382).

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

242160768 is a wasteful number, since it uses less digits than its factorization.

242160768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210229 (or 210214 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 242160768 is about 15561.5156074208. The cubic root of 242160768 is about 623.3059344021.

The spelling of 242160768 in words is "two hundred forty-two million, one hundred sixty thousand, seven hundred sixty-eight".