6907680 has 240 divisors, whose sum is σ = 26893944. Its totient is φ = 1658880.

The previous prime is 6907679. The next prime is 6907711. The reversal of 6907680 is 867096.

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 4511376 = 1548^2 + 2124^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168460 + ... + 168500.

Almost surely, 2^6907680 is an apocalyptic number.

6907680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13446972).

6907680 is an abundant number, since it is smaller than the sum of its proper divisors (19986264).

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

6907680 is a wasteful number, since it uses less digits than its factorization.

6907680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6907680 is about 2628.2465637759. The cubic root of 6907680 is about 190.4484329393.

The spelling of 6907680 in words is "six million, nine hundred seven thousand, six hundred eighty".