6960080 has 60 divisors (see below), whose sum is σ = 17149572. Its totient is φ = 2626560.

The previous prime is 6960077. The next prime is 6960091. The reversal of 6960080 is 800696.

It can be written as a sum of positive squares in 2 ways, for example, as 3904576 + 3055504 = 1976^2 + 1748^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28760 + ... + 29000.

Almost surely, 2^6960080 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 6960080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8574786).

6960080 is an abundant number, since it is smaller than the sum of its proper divisors (10189492).

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

6960080 is a wasteful number, since it uses less digits than its factorization.

6960080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 6960080 is about 2638.1963535719. The cubic root of 6960080 is about 190.9287857095.

The spelling of 6960080 in words is "six million, nine hundred sixty thousand, eighty".