238616640 has 168 divisors, whose sum is σ = 849340440. Its totient is φ = 61415424.

The previous prime is 238616639. The next prime is 238616647. The reversal of 238616640 is 46616832.

238616640 is a `hidden beast` number, since 2 + 3 + 8 + 6 + 1 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40144896 + 198471744 = 6336^2 + 14088^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 238616595 and 238616604.

It is not an unprimeable number, because it can be changed into a prime (238616647) 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, 82092 + ... + 84948.

Almost surely, 2^238616640 is an apocalyptic number.

238616640 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 238616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424670220).

238616640 is an abundant number, since it is smaller than the sum of its proper divisors (610723800).

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

238616640 is a wasteful number, since it uses less digits than its factorization.

238616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 238616640 is about 15447.2211093128. The cubic root of 238616640 is about 620.2501938553.

The spelling of 238616640 in words is "two hundred thirty-eight million, six hundred sixteen thousand, six hundred forty".