242320 has 40 divisors (see below), whose sum is σ = 609336. Its totient is φ = 89088.

The previous prime is 242309. The next prime is 242329. The reversal of 242320 is 23242.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 242064 = 16^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 242320.

It is not an unprimeable number, because it can be changed into a prime (242329) by changing a digit.

242320 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 7 ways as a sum of consecutive naturals, for example, 924 + ... + 1156.

2²⁴²³²⁰ is an apocalyptic number.

242320 is a gapful number since it is divisible by the number (20) 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 242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304668).

242320 is an abundant number, since it is smaller than the sum of its proper divisors (367016).

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

242320 is a wasteful number, since it uses less digits than its factorization.

242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 242320 is about 492.2600938528. The cubic root of 242320 is about 62.3442522044.

Adding to 242320 its reverse (23242), we get a palindrome (265562).

The spelling of 242320 in words is "two hundred forty-two thousand, three hundred twenty", and thus it is an iban number.