6328960 has 128 divisors (see below), whose sum is σ = 17625600. Its totient is φ = 2150400.

The previous prime is 6328951. The next prime is 6328967. The reversal of 6328960 is 698236.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (6328967) 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, 204145 + ... + 204175.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

Almost surely, 2^6328960 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 6328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812800).

6328960 is an abundant number, since it is smaller than the sum of its proper divisors (11296640).

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

6328960 is a wasteful number, since it uses less digits than its factorization.

6328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 6328960 is about 2515.7424351471. The cubic root of 6328960 is about 184.9740406721.

The spelling of 6328960 in words is "six million, three hundred twenty-eight thousand, nine hundred sixty".