6006792 has 64 divisors (see below), whose sum is σ = 16695360. Its totient is φ = 1785600.

The previous prime is 6006779. The next prime is 6006809. The reversal of 6006792 is 2976006.

6006792 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15918 + ... + 16290.

It is an arithmetic number, because the mean of its divisors is an integer number (260865).

Almost surely, 2^6006792 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 6006792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347680).

6006792 is an abundant number, since it is smaller than the sum of its proper divisors (10688568).

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

6006792 is a wasteful number, since it uses less digits than its factorization.

6006792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 6006792 is about 2450.8757618451. The cubic root of 6006792 is about 181.7805994443.

The spelling of 6006792 in words is "six million, six thousand, seven hundred ninety-two".