6486960 has 80 divisors (see below), whose sum is σ = 20355840. Its totient is φ = 1708800.

The previous prime is 6486959. The next prime is 6486973. The reversal of 6486960 is 696846.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36151 + ... + 36329.

It is an arithmetic number, because the mean of its divisors is an integer number (254448).

Almost surely, 2^6486960 is an apocalyptic number.

6486960 is a gapful number since it is divisible by the number (60) 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 6486960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10177920).

6486960 is an abundant number, since it is smaller than the sum of its proper divisors (13868880).

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

6486960 is a wasteful number, since it uses less digits than its factorization.

6486960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 6486960 is about 2546.9511184944. The cubic root of 6486960 is about 186.5006744316.

The spelling of 6486960 in words is "six million, four hundred eighty-six thousand, nine hundred sixty".