242368 has 28 divisors (see below), whose sum is σ = 550672. Its totient is φ = 103680.

The previous prime is 242357. The next prime is 242371. The reversal of 242368 is 863242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is an unprimeable number.

242368 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, 178 + ... + 718.

2²⁴²³⁶⁸ is an apocalyptic number.

242368 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 242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275336).

242368 is an abundant number, since it is smaller than the sum of its proper divisors (308304).

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

242368 is an equidigital number, since it uses as much as digits as its factorization.

242368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 550 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 242368 is about 492.3088461525. The cubic root of 242368 is about 62.3483684233.

The spelling of 242368 in words is "two hundred forty-two thousand, three hundred sixty-eight".