6716560 has 40 divisors (see below), whose sum is σ = 15891840. Its totient is φ = 2639232.

The previous prime is 6716551. The next prime is 6716569. The reversal of 6716560 is 656176.

It is an interprime number because it is at equal distance from previous prime (6716551) and next prime (6716569).

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

It is a super-2 number, since 2×6716560² = 90224356467200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6716569) 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 7 ways as a sum of consecutive naturals, for example, 4009 + ... + 5431.

It is an arithmetic number, because the mean of its divisors is an integer number (397296).

Almost surely, 2^6716560 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 6716560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7945920).

6716560 is an abundant number, since it is smaller than the sum of its proper divisors (9175280).

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

6716560 is a wasteful number, since it uses less digits than its factorization.

6716560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 6716560 is about 2591.6326900238. The cubic root of 6716560 is about 188.6755535831.

The spelling of 6716560 in words is "six million, seven hundred sixteen thousand, five hundred sixty".