6476560 has 40 divisors (see below), whose sum is σ = 15278040. Its totient is φ = 2552832.

The previous prime is 6476557. The next prime is 6476563. The reversal of 6476560 is 656746.

It is an interprime number because it is at equal distance from previous prime (6476557) and next prime (6476563).

It can be written as a sum of positive squares in 4 ways, for example, as 4624 + 6471936 = 68^2 + 2544^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6476563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5286 + ... + 6394.

It is an arithmetic number, because the mean of its divisors is an integer number (381951).

Almost surely, 2^6476560 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 6476560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7639020).

6476560 is an abundant number, since it is smaller than the sum of its proper divisors (8801480).

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

6476560 is a wasteful number, since it uses less digits than its factorization.

6476560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 6476560 is about 2544.9086427611. The cubic root of 6476560 is about 186.4009541479.

The spelling of 6476560 in words is "six million, four hundred seventy-six thousand, five hundred sixty".