6996636 has 72 divisors (see below), whose sum is σ = 19066320. Its totient is φ = 2156544.

The previous prime is 6996631. The next prime is 6996643. The reversal of 6996636 is 6366996.

6996636 is a `hidden beast` number, since 6 + 9 + 9 + 6 + 636 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6996591 and 6996600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6996631) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36156 + ... + 36348.

It is an arithmetic number, because the mean of its divisors is an integer number (264810).

Almost surely, 2^6996636 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 6996636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9533160).

6996636 is an abundant number, since it is smaller than the sum of its proper divisors (12069684).

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

6996636 is a wasteful number, since it uses less digits than its factorization.

6996636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 270 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 6996636 is about 2645.1154984235. The cubic root of 6996636 is about 191.2624700314.

The spelling of 6996636 in words is "six million, nine hundred ninety-six thousand, six hundred thirty-six".