8272960 has 56 divisors (see below), whose sum is σ = 19970496. Its totient is φ = 3264000.

The previous prime is 8272951. The next prime is 8272963. The reversal of 8272960 is 692728.

8272960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (8272963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32835 + ... + 33085.

It is an arithmetic number, because the mean of its divisors is an integer number (356616).

Almost surely, 2^8272960 is an apocalyptic number.

8272960 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 8272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9985248).

8272960 is an abundant number, since it is smaller than the sum of its proper divisors (11697536).

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

8272960 is a wasteful number, since it uses less digits than its factorization.

8272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 8272960 is about 2876.2753692927. The cubic root of 8272960 is about 202.2492756321.

The spelling of 8272960 in words is "eight million, two hundred seventy-two thousand, nine hundred sixty".