238533120 has 640 divisors, whose sum is σ = 1060646400. Its totient is φ = 49545216.

The previous prime is 238533109. The next prime is 238533143. The reversal of 238533120 is 21335832.

238533120 is a `hidden beast` number, since 2 + 3 + 8 + 533 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8225266 + ... + 8225294.

It is an arithmetic number, because the mean of its divisors is an integer number (1657260).

Almost surely, 2^238533120 is an apocalyptic number.

238533120 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 238533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530323200).

238533120 is an abundant number, since it is smaller than the sum of its proper divisors (822113280).

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

238533120 is a wasteful number, since it uses less digits than its factorization.

238533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 238533120 is about 15444.5174738481. The cubic root of 238533120 is about 620.1778192696.

Adding to 238533120 its reverse (21335832), we get a palindrome (259868952).

The spelling of 238533120 in words is "two hundred thirty-eight million, five hundred thirty-three thousand, one hundred twenty".