242016 has 24 divisors (see below), whose sum is σ = 635544. Its totient is φ = 80640.

The previous prime is 242009. The next prime is 242057. The reversal of 242016 is 610242.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 241986 and 242004.

It is a congruent number.

It is an unprimeable number.

242016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1165 + ... + 1356.

It is an arithmetic number, because the mean of its divisors is an integer number (26481).

2²⁴²⁰¹⁶ is an apocalyptic number.

It is an amenable number.

242016 is an abundant number, since it is smaller than the sum of its proper divisors (393528).

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

242016 is a wasteful number, since it uses less digits than its factorization.

242016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 242016 is about 491.9512170937. The cubic root of 242016 is about 62.3181701864.

Adding to 242016 its reverse (610242), we get a palindrome (852258).

It can be divided in two parts, 24 and 2016, that multiplied together give a palindrome (48384).

The spelling of 242016 in words is "two hundred forty-two thousand, sixteen".