8197128 has 96 divisors (see below), whose sum is σ = 24275160. Its totient is φ = 2488320.

The previous prime is 8197099. The next prime is 8197141. The reversal of 8197128 is 8217918.

It can be written as a sum of positive squares in 4 ways, for example, as 7193124 + 1004004 = 2682^2 + 1002^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8197092 and 8197101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45198 + ... + 45378.

Almost surely, 2^8197128 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 8197128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12137580).

8197128 is an abundant number, since it is smaller than the sum of its proper divisors (16078032).

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

8197128 is a wasteful number, since it uses less digits than its factorization.

8197128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 8197128 is about 2863.0626957858. The cubic root of 8197128 is about 201.6294221986.

It can be divided in two parts, 8 and 197128, that added together give a square (197136 = 444²).

The spelling of 8197128 in words is "eight million, one hundred ninety-seven thousand, one hundred twenty-eight".