6966180 has 108 divisors (see below), whose sum is σ = 22981140. Its totient is φ = 1707264.

The previous prime is 6966173. The next prime is 6966203. The reversal of 6966180 is 816696.

It can be written as a sum of positive squares in 6 ways, for example, as 278784 + 6687396 = 528^2 + 2586^2 .

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 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 35 ways as a sum of consecutive naturals, for example, 30306 + ... + 30534.

Almost surely, 2^6966180 is an apocalyptic number.

6966180 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 6966180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490570).

6966180 is an abundant number, since it is smaller than the sum of its proper divisors (16014960).

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

6966180 is a wasteful number, since it uses less digits than its factorization.

6966180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6966180 is about 2639.3521932474. The cubic root of 6966180 is about 190.9845477846.

The spelling of 6966180 in words is "six million, nine hundred sixty-six thousand, one hundred eighty".