8609168040 has 128 divisors (see below), whose sum is σ = 28391109120. Its totient is φ = 2071097600.

The previous prime is 8609168039. The next prime is 8609168041. The reversal of 8609168040 is 408619068.

It is an interprime number because it is at equal distance from previous prime (8609168039) and next prime (8609168041).

It is a junction number, because it is equal to n+sod(n) for n = 8609167983 and 8609168001.

It is not an unprimeable number, because it can be changed into a prime (8609168041) 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 31 ways as a sum of consecutive naturals, for example, 148027 + ... + 197813.

It is an arithmetic number, because the mean of its divisors is an integer number (221805540).

Almost surely, 2^8609168040 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 8609168040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14195554560).

8609168040 is an abundant number, since it is smaller than the sum of its proper divisors (19781941080).

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

8609168040 is a wasteful number, since it uses less digits than its factorization.

8609168040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49943 (or 49939 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 8609168040 is about 92785.6025469469. The cubic root of 8609168040 is about 2049.5273976986.

The spelling of 8609168040 in words is "eight billion, six hundred nine million, one hundred sixty-eight thousand, forty".