242088 has 64 divisors (see below), whose sum is σ = 760320. Its totient is φ = 62400.

The previous prime is 242083. The next prime is 242093. The reversal of 242088 is 880242.

242088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242083) and next prime (242093).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (242083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1783 + ... + 1913.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

2²⁴²⁰⁸⁸ is an apocalyptic number.

242088 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 242088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380160).

242088 is an abundant number, since it is smaller than the sum of its proper divisors (518232).

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

242088 is a wasteful number, since it uses less digits than its factorization.

242088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 242088 is about 492.0243896394. The cubic root of 242088 is about 62.3243494794.

Subtracting from 242088 its sum of digits (24), we obtain a square (242064 = 492²).

It can be divided in two parts, 24 and 2088, that added together give a palindrome (2112).

The spelling of 242088 in words is "two hundred forty-two thousand, eighty-eight".