8244827136 has 704 divisors, whose sum is σ = 31363315200. Its totient is φ = 2080899072.

The previous prime is 8244827131. The next prime is 8244827159. The reversal of 8244827136 is 6317284428.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8244827091 and 8244827100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8244827131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72963016 + ... + 72963128.

Almost surely, 2^8244827136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8244827136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15681657600).

8244827136 is an abundant number, since it is smaller than the sum of its proper divisors (23118488064).

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

8244827136 is a wasteful number, since it uses less digits than its factorization.

8244827136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 8244827136 is about 90801.0304787341. The cubic root of 8244827136 is about 2020.1976031245.

The spelling of 8244827136 in words is "eight billion, two hundred forty-four million, eight hundred twenty-seven thousand, one hundred thirty-six".