242720 has 48 divisors (see below), whose sum is σ = 603288. Its totient is φ = 92160.

The previous prime is 242713. The next prime is 242729. The reversal of 242720 is 27242.

It can be written as a sum of positive squares in 4 ways, for example, as 183184 + 59536 = 428^2 + 244^2 .

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5900 + ... + 5940.

2²⁴²⁷²⁰ is an apocalyptic number.

242720 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 242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301644).

242720 is an abundant number, since it is smaller than the sum of its proper divisors (360568).

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

242720 is a wasteful number, since it uses less digits than its factorization.

242720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 242720 is about 492.6662156065. Note that the first 3 decimals coincide. The cubic root of 242720 is about 62.3785374358.

Adding to 242720 its reverse (27242), we get a palindrome (269962).

It can be divided in two parts, 24 and 2720, that added together give a cube (2744 = 14³).

The spelling of 242720 in words is "two hundred forty-two thousand, seven hundred twenty", and thus it is an iban number.