8238652240 has 240 divisors, whose sum is σ = 24125487120. Its totient is φ = 2593382400.

The previous prime is 8238652211. The next prime is 8238652241. The reversal of 8238652240 is 422568328.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 926350096 + 7312302144 = 30436^2 + 85512^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8238652193 and 8238652202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8238652241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13707940 + ... + 13708540.

It is an arithmetic number, because the mean of its divisors is an integer number (100522863).

Almost surely, 2^8238652240 is an apocalyptic number.

8238652240 is a gapful number since it is divisible by the number (80) 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 8238652240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12062743560).

8238652240 is an abundant number, since it is smaller than the sum of its proper divisors (15886834880).

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

8238652240 is a wasteful number, since it uses less digits than its factorization.

8238652240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 8238652240 is about 90767.0217645153. The cubic root of 8238652240 is about 2019.6931403295.

The spelling of 8238652240 in words is "eight billion, two hundred thirty-eight million, six hundred fifty-two thousand, two hundred forty".