6936672 has 48 divisors (see below), whose sum is σ = 19172160. Its totient is φ = 2189952.

The previous prime is 6936661. The next prime is 6936673. The reversal of 6936672 is 2766396.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6936672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6936673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78 + ... + 3725.

It is an arithmetic number, because the mean of its divisors is an integer number (399420).

Almost surely, 2^6936672 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 6936672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9586080).

6936672 is an abundant number, since it is smaller than the sum of its proper divisors (12235488).

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

6936672 is a wasteful number, since it uses less digits than its factorization.

6936672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835 (or 3827 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 6936672 is about 2633.7562529589. The cubic root of 6936672 is about 190.7145026980.

The spelling of 6936672 in words is "six million, nine hundred thirty-six thousand, six hundred seventy-two".