6478560 has 144 divisors (see below), whose sum is σ = 24176880. Its totient is φ = 1566720.

The previous prime is 6478559. The next prime is 6478567. The reversal of 6478560 is 658746.

It is a happy number.

6478560 is a `hidden beast` number, since 647 + 8 + 5 + 6 + 0 = 666.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (6478567) 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 23 ways as a sum of consecutive naturals, for example, 15636 + ... + 16044.

It is an arithmetic number, because the mean of its divisors is an integer number (167895).

Almost surely, 2^6478560 is an apocalyptic number.

6478560 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 6478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12088440).

6478560 is an abundant number, since it is smaller than the sum of its proper divisors (17698320).

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

6478560 is a wasteful number, since it uses less digits than its factorization.

6478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6478560 is about 2545.3015538439. The cubic root of 6478560 is about 186.4201394119.

The spelling of 6478560 in words is "six million, four hundred seventy-eight thousand, five hundred sixty".