6914560 has 80 divisors (see below), whose sum is σ = 17260056. Its totient is φ = 2654208.

The previous prime is 6914543. The next prime is 6914569. The reversal of 6914560 is 654196.

It can be written as a sum of positive squares in 4 ways, for example, as 6635776 + 278784 = 2576^2 + 528^2 .

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

It is a super-2 number, since 2×6914560² = 95622279987200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6914569) 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, 94684 + ... + 94756.

Almost surely, 2^6914560 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 6914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8630028).

6914560 is an abundant number, since it is smaller than the sum of its proper divisors (10345496).

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

6914560 is an equidigital number, since it uses as much as digits as its factorization.

6914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 6914560 is about 2629.5550954487. Note that the first 3 decimals coincide. The cubic root of 6914560 is about 190.5116403861.

The spelling of 6914560 in words is "six million, nine hundred fourteen thousand, five hundred sixty".