238791168 has 240 divisors, whose sum is σ = 860498496. Its totient is φ = 61931520.

The previous prime is 238791127. The next prime is 238791193. The reversal of 238791168 is 861197832.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354480 + ... + 355152.

Almost surely, 2^238791168 is an apocalyptic number.

238791168 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 238791168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430249248).

238791168 is an abundant number, since it is smaller than the sum of its proper divisors (621707328).

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

238791168 is a wasteful number, since it uses less digits than its factorization.

238791168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 696 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 238791168 is about 15452.8692481364. The cubic root of 238791168 is about 620.4013772827.

The spelling of 238791168 in words is "two hundred thirty-eight million, seven hundred ninety-one thousand, one hundred sixty-eight".