238637920 has 96 divisors (see below), whose sum is σ = 580190688. Its totient is φ = 92725248.

The previous prime is 238637899. The next prime is 238637921. The reversal of 238637920 is 29736832.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238637921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1211262 + ... + 1211458.

It is an arithmetic number, because the mean of its divisors is an integer number (6043653).

Almost surely, 2^238637920 is an apocalyptic number.

238637920 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 238637920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290095344).

238637920 is an abundant number, since it is smaller than the sum of its proper divisors (341552768).

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

238637920 is a wasteful number, since it uses less digits than its factorization.

238637920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 238637920 is about 15447.9098909853. The cubic root of 238637920 is about 620.2686314236.

The spelling of 238637920 in words is "two hundred thirty-eight million, six hundred thirty-seven thousand, nine hundred twenty".