242624 has 28 divisors (see below), whose sum is σ = 512064. Its totient is φ = 113664.

The previous prime is 242621. The next prime is 242629. The reversal of 242624 is 426242.

242624 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242596 and 242605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 977 + ... + 1199.

It is an arithmetic number, because the mean of its divisors is an integer number (18288).

2²⁴²⁶²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256032).

242624 is an abundant number, since it is smaller than the sum of its proper divisors (269440).

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

242624 is a wasteful number, since it uses less digits than its factorization.

242624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its digits is 768, while the sum is 20.

The square root of 242624 is about 492.5687769236. The cubic root of 242624 is about 62.3703124176.

Adding to 242624 its reverse (426242), we get a palindrome (668866).

The spelling of 242624 in words is "two hundred forty-two thousand, six hundred twenty-four".