238667688 has 128 divisors (see below), whose sum is σ = 790732800. Its totient is φ = 65216448.

The previous prime is 238667687. The next prime is 238667701. The reversal of 238667688 is 886766832.

It is a happy number.

238667688 is digitally balanced in base 3, 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 a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (238667687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31345 + ... + 38207.

It is an arithmetic number, because the mean of its divisors is an integer number (6177600).

Almost surely, 2^238667688 is an apocalyptic number.

238667688 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 238667688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395366400).

238667688 is an abundant number, since it is smaller than the sum of its proper divisors (552065112).

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

238667688 is a wasteful number, since it uses less digits than its factorization.

238667688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6908 (or 6898 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 238667688 is about 15448.8733569798. The cubic root of 238667688 is about 620.2944213860.

The spelling of 238667688 in words is "two hundred thirty-eight million, six hundred sixty-seven thousand, six hundred eighty-eight".