238085120 has 264 divisors, whose sum is σ = 725276664. Its totient is φ = 74317824.

The previous prime is 238085093. The next prime is 238085137. The reversal of 238085120 is 21580832.

It can be written as a sum of positive squares in 4 ways, for example, as 6071296 + 232013824 = 2464^2 + 15232^2 .

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, 3261404 + ... + 3261476.

Almost surely, 2^238085120 is an apocalyptic number.

238085120 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 238085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362638332).

238085120 is an abundant number, since it is smaller than the sum of its proper divisors (487191544).

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

238085120 is a wasteful number, since it uses less digits than its factorization.

238085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 238085120 is about 15430.0071289679. The cubic root of 238085120 is about 619.7893144701.

The spelling of 238085120 in words is "two hundred thirty-eight million, eighty-five thousand, one hundred twenty".