6792968 has 96 divisors (see below), whose sum is σ = 16853760. Its totient is φ = 2540160.

The previous prime is 6792967. The next prime is 6792977. The reversal of 6792968 is 8692976.

It is a super-2 number, since 2×6792968² = 92288828498048, which contains 22 as substring.

It is an Ulam number.

Its product of digits (326592) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (6792967) 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, 157955 + ... + 157997.

It is an arithmetic number, because the mean of its divisors is an integer number (175560).

Almost surely, 2^6792968 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 6792968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426880).

6792968 is an abundant number, since it is smaller than the sum of its proper divisors (10060792).

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

6792968 is a wasteful number, since it uses less digits than its factorization.

6792968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

The product of its digits is 326592, while the sum is 47.

The square root of 6792968 is about 2606.3322888688. The cubic root of 6792968 is about 189.3883191262.

The spelling of 6792968 in words is "six million, seven hundred ninety-two thousand, nine hundred sixty-eight".