238075680 has 192 divisors, whose sum is σ = 782949888. Its totient is φ = 60764160.

The previous prime is 238075661. The next prime is 238075693. The reversal of 238075680 is 86570832.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1376074 + ... + 1376246.

It is an arithmetic number, because the mean of its divisors is an integer number (4077864).

Almost surely, 2^238075680 is an apocalyptic number.

238075680 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 238075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391474944).

238075680 is an abundant number, since it is smaller than the sum of its proper divisors (544874208).

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

238075680 is a wasteful number, since it uses less digits than its factorization.

238075680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 238075680 is about 15429.7012284749. The cubic root of 238075680 is about 619.7811228782.

The spelling of 238075680 in words is "two hundred thirty-eight million, seventy-five thousand, six hundred eighty".