8328960 has 144 divisors (see below), whose sum is σ = 29678880. Its totient is φ = 2211840.

The previous prime is 8328949. The next prime is 8328961. The reversal of 8328960 is 698238.

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

It is a super-3 number, since 3×8328960³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8328961) 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 15 ways as a sum of consecutive naturals, for example, 34440 + ... + 34680.

Almost surely, 2^8328960 is an apocalyptic number.

8328960 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 8328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839440).

8328960 is an abundant number, since it is smaller than the sum of its proper divisors (21349920).

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

8328960 is a wasteful number, since it uses less digits than its factorization.

8328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8328960 is about 2885.9937629870. The cubic root of 8328960 is about 202.7045943175.

Adding to 8328960 its sum of digits (36), we get a square (8328996 = 2886²).

The spelling of 8328960 in words is "eight million, three hundred twenty-eight thousand, nine hundred sixty".