8280960 has 128 divisors (see below), whose sum is σ = 27907200. Its totient is φ = 2082816.

The previous prime is 8280959. The next prime is 8280967. The reversal of 8280960 is 690828.

8280960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8280967) 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, 36367 + ... + 36593.

It is an arithmetic number, because the mean of its divisors is an integer number (218025).

Almost surely, 2^8280960 is an apocalyptic number.

8280960 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 8280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953600).

8280960 is an abundant number, since it is smaller than the sum of its proper divisors (19626240).

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

8280960 is a wasteful number, since it uses less digits than its factorization.

8280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 8280960 is about 2877.6657206840. The cubic root of 8280960 is about 202.3144467014.

The spelling of 8280960 in words is "eight million, two hundred eighty thousand, nine hundred sixty".