242823168 has 156 divisors (see below), whose sum is σ = 802455888. Its totient is φ = 69304320.

The previous prime is 242823073. The next prime is 242823179. The reversal of 242823168 is 861328242.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257578 + ... + 258518.

It is an arithmetic number, because the mean of its divisors is an integer number (5143948).

Almost surely, 2^242823168 is an apocalyptic number.

242823168 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 242823168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401227944).

242823168 is an abundant number, since it is smaller than the sum of its proper divisors (559632720).

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

242823168 is an equidigital number, since it uses as much as digits as its factorization.

242823168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 953 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 242823168 is about 15582.7843468361. The cubic root of 242823168 is about 623.8737417134.

The spelling of 242823168 in words is "two hundred forty-two million, eight hundred twenty-three thousand, one hundred sixty-eight".