238606560 has 432 divisors, whose sum is σ = 943605936. Its totient is φ = 56733696.

The previous prime is 238606523. The next prime is 238606567. The reversal of 238606560 is 65606832.

238606560 is a `hidden beast` number, since 2 + 38 + 60 + 6 + 560 = 666.

238606560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238606567) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 12558231 + ... + 12558249.

It is an arithmetic number, because the mean of its divisors is an integer number (2184273).

Almost surely, 2^238606560 is an apocalyptic number.

238606560 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 238606560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471802968).

238606560 is an abundant number, since it is smaller than the sum of its proper divisors (704999376).

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

238606560 is a wasteful number, since it uses less digits than its factorization.

238606560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 238606560 is about 15446.8948335903. The cubic root of 238606560 is about 620.2414598878.

The spelling of 238606560 in words is "two hundred thirty-eight million, six hundred six thousand, five hundred sixty".