238765968 has 240 divisors, whose sum is σ = 820391936. Its totient is φ = 65784960.

The previous prime is 238765939. The next prime is 238765973. The reversal of 238765968 is 869567832.

It is a happy number.

238765968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843555 + ... + 843837.

Almost surely, 2^238765968 is an apocalyptic number.

238765968 is a gapful number since it is divisible by the number (28) 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 238765968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410195968).

238765968 is an abundant number, since it is smaller than the sum of its proper divisors (581625968).

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

238765968 is a wasteful number, since it uses less digits than its factorization.

238765968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 326 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 238765968 is about 15452.0538440688. The cubic root of 238765968 is about 620.3795525438.

The spelling of 238765968 in words is "two hundred thirty-eight million, seven hundred sixty-five thousand, nine hundred sixty-eight".