238821120 has 108 divisors (see below), whose sum is σ = 826336056. Its totient is φ = 63682560.

The previous prime is 238821113. The next prime is 238821139. The reversal of 238821120 is 21128832.

It is a zygodrome in base 2.

It is a congruent number.

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, 1155 + ... + 21885.

Almost surely, 2^238821120 is an apocalyptic number.

238821120 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 238821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413168028).

238821120 is an abundant number, since it is smaller than the sum of its proper divisors (587514936).

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

238821120 is a wasteful number, since it uses less digits than its factorization.

238821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20758 (or 20741 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 238821120 is about 15453.8383581556. The cubic root of 238821120 is about 620.4273155468.

Adding to 238821120 its reverse (21128832), we get a palindrome (259949952).

The spelling of 238821120 in words is "two hundred thirty-eight million, eight hundred twenty-one thousand, one hundred twenty".