6972680 has 128 divisors (see below), whose sum is σ = 19595520. Its totient is φ = 2196480.

The previous prime is 6972661. The next prime is 6972683. The reversal of 6972680 is 862796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6972683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131534 + ... + 131586.

It is an arithmetic number, because the mean of its divisors is an integer number (153090).

Almost surely, 2^6972680 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 6972680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9797760).

6972680 is an abundant number, since it is smaller than the sum of its proper divisors (12622840).

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

6972680 is a wasteful number, since it uses less digits than its factorization.

6972680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 6972680 is about 2640.5832689010. The cubic root of 6972680 is about 191.0439305765.

The spelling of 6972680 in words is "six million, nine hundred seventy-two thousand, six hundred eighty".