6957216 has 216 divisors, whose sum is σ = 25208820. Its totient is φ = 1806336.

The previous prime is 6957179. The next prime is 6957229. The reversal of 6957216 is 6127596.

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 176400 = 2604^2 + 420^2 .

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 35 ways as a sum of consecutive naturals, for example, 239890 + ... + 239918.

Almost surely, 2^6957216 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 6957216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12604410).

6957216 is an abundant number, since it is smaller than the sum of its proper divisors (18251604).

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

6957216 is a wasteful number, since it uses less digits than its factorization.

6957216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 58 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 6957216 is about 2637.6535026421. The cubic root of 6957216 is about 190.9025937183.

The spelling of 6957216 in words is "six million, nine hundred fifty-seven thousand, two hundred sixteen".