238677768 has 96 divisors (see below), whose sum is σ = 741124800. Its totient is φ = 67976064.

The previous prime is 238677767. The next prime is 238677779. The reversal of 238677768 is 867776832.

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 (238677767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222738 + ... + 223806.

It is an arithmetic number, because the mean of its divisors is an integer number (7720050).

Almost surely, 2^238677768 is an apocalyptic number.

238677768 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 238677768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370562400).

238677768 is an abundant number, since it is smaller than the sum of its proper divisors (502447032).

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

238677768 is a wasteful number, since it uses less digits than its factorization.

238677768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1524 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 238677768 is about 15449.1995909173. The cubic root of 238677768 is about 620.3031538622.

The spelling of 238677768 in words is "two hundred thirty-eight million, six hundred seventy-seven thousand, seven hundred sixty-eight".