8128960 has 112 divisors (see below), whose sum is σ = 23408640. Its totient is φ = 2626560.

The previous prime is 8128957. The next prime is 8128969. The reversal of 8128960 is 698218.

8128960 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (112).

It is an Ulam number.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8128969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42465 + ... + 42655.

Almost surely, 2^8128960 is an apocalyptic number.

8128960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11704320).

8128960 is an abundant number, since it is smaller than the sum of its proper divisors (15279680).

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

8128960 is a wasteful number, since it uses less digits than its factorization.

8128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 8128960 is about 2851.1331080818. The cubic root of 8128960 is about 201.0689432894.

The spelling of 8128960 in words is "eight million, one hundred twenty-eight thousand, nine hundred sixty".