8173587968 has 160 divisors (see below), whose sum is σ = 20752005120. Its totient is φ = 3128647680.

The previous prime is 8173587953. The next prime is 8173587977. The reversal of 8173587968 is 8697853718.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 8173587968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1441523 + ... + 1447181.

It is an arithmetic number, because the mean of its divisors is an integer number (129700032).

Almost surely, 2^8173587968 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 8173587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10376002560).

8173587968 is an abundant number, since it is smaller than the sum of its proper divisors (12578417152).

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

8173587968 is a wasteful number, since it uses less digits than its factorization.

8173587968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728 (or 5712 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 62.

The square root of 8173587968 is about 90407.8977081095. The cubic root of 8173587968 is about 2014.3622795809.

The spelling of 8173587968 in words is "eight billion, one hundred seventy-three million, five hundred eighty-seven thousand, nine hundred sixty-eight".