8606825640 has 256 divisors, whose sum is σ = 33205248000. Its totient is φ = 1942237440.

The previous prime is 8606825621. The next prime is 8606825641. The reversal of 8606825640 is 465286068.

8606825640 is a `hidden beast` number, since 8 + 6 + 0 + 6 + 82 + 564 + 0 = 666.

It is a super-2 number, since 2×8606825640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8606825641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 590035 + ... + 604445.

It is an arithmetic number, because the mean of its divisors is an integer number (129708000).

Almost surely, 2^8606825640 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 8606825640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16602624000).

8606825640 is an abundant number, since it is smaller than the sum of its proper divisors (24598422360).

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

8606825640 is a wasteful number, since it uses less digits than its factorization.

8606825640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14517 (or 14507 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8606825640 is about 92772.9790402356. The cubic root of 8606825640 is about 2049.3415009730.

The spelling of 8606825640 in words is "eight billion, six hundred six million, eight hundred twenty-five thousand, six hundred forty".