238808064 has 176 divisors, whose sum is σ = 716875776. Its totient is φ = 70041600.

The previous prime is 238808051. The next prime is 238808113. The reversal of 238808064 is 460808832.

238808064 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (176).

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 15 ways as a sum of consecutive naturals, for example, 1250209 + ... + 1250399.

Almost surely, 2^238808064 is an apocalyptic number.

238808064 is a gapful number since it is divisible by the number (24) 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 238808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358437888).

238808064 is an abundant number, since it is smaller than the sum of its proper divisors (478067712).

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

238808064 is a wasteful number, since it uses less digits than its factorization.

238808064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 238808064 is about 15453.4159330551. The cubic root of 238808064 is about 620.4160093907.

The spelling of 238808064 in words is "two hundred thirty-eight million, eight hundred eight thousand, sixty-four".