6967680 has 128 divisors (see below), whose sum is σ = 23500800. Its totient is φ = 1751040.

The previous prime is 6967679. The next prime is 6967691. The reversal of 6967680 is 867696.

6967680 = 20² + 21² + ... + 275².

It is a happy number.

6967680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36385 + ... + 36575.

It is an arithmetic number, because the mean of its divisors is an integer number (183600).

Almost surely, 2^6967680 is an apocalyptic number.

6967680 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 6967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11750400).

6967680 is an abundant number, since it is smaller than the sum of its proper divisors (16533120).

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

6967680 is a wasteful number, since it uses less digits than its factorization.

6967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 6967680 is about 2639.6363385891. The cubic root of 6967680 is about 190.9982547834.

The spelling of 6967680 in words is "six million, nine hundred sixty-seven thousand, six hundred eighty".