8260128 has 144 divisors (see below), whose sum is σ = 25945920. Its totient is φ = 2483712.

The previous prime is 8260127. The next prime is 8260201. The reversal of 8260128 is 8210628.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (8260123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192075 + ... + 192117.

It is an arithmetic number, because the mean of its divisors is an integer number (180180).

Almost surely, 2^8260128 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 8260128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972960).

8260128 is an abundant number, since it is smaller than the sum of its proper divisors (17685792).

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

8260128 is a wasteful number, since it uses less digits than its factorization.

8260128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8260128 is about 2874.0438410017. The cubic root of 8260128 is about 202.1446534380.

The spelling of 8260128 in words is "eight million, two hundred sixty thousand, one hundred twenty-eight".