6788736 has 96 divisors (see below), whose sum is σ = 20049120. Its totient is φ = 2204160.

The previous prime is 6788731. The next prime is 6788737. The reversal of 6788736 is 6378876.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6788691 and 6788700.

It is not an unprimeable number, because it can be changed into a prime (6788731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81751 + ... + 81833.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 2^6788736 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 6788736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10024560).

6788736 is an abundant number, since it is smaller than the sum of its proper divisors (13260384).

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

6788736 is a wasteful number, since it uses less digits than its factorization.

6788736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 6788736 is about 2605.5202935306. The cubic root of 6788736 is about 189.3489814923.

The spelling of 6788736 in words is "six million, seven hundred eighty-eight thousand, seven hundred thirty-six".