6930560 has 192 divisors, whose sum is σ = 21976920. Its totient is φ = 2064384.

The previous prime is 6930557. The next prime is 6930563. The reversal of 6930560 is 650396.

It is an interprime number because it is at equal distance from previous prime (6930557) and next prime (6930563).

It can be written as a sum of positive squares in 4 ways, for example, as 5271616 + 1658944 = 2296^2 + 1288^2 .

It is not an unprimeable number, because it can be changed into a prime (6930563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407672 + ... + 407688.

Almost surely, 2^6930560 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 6930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10988460).

6930560 is an abundant number, since it is smaller than the sum of its proper divisors (15046360).

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

6930560 is a wasteful number, since it uses less digits than its factorization.

6930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 6930560 is about 2632.5956772737. The cubic root of 6930560 is about 190.6584724881.

The spelling of 6930560 in words is "six million, nine hundred thirty thousand, five hundred sixty".