6892640 has 48 divisors (see below), whose sum is σ = 17000928. Its totient is φ = 2635776.

The previous prime is 6892631. The next prime is 6892643. The reversal of 6892640 is 462986.

It is a self number, because there is not a number n which added to its sum of digits gives 6892640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6892643) 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, 2744 + ... + 4616.

It is an arithmetic number, because the mean of its divisors is an integer number (354186).

Almost surely, 2^6892640 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 6892640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8500464).

6892640 is an abundant number, since it is smaller than the sum of its proper divisors (10108288).

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

6892640 is a wasteful number, since it uses less digits than its factorization.

6892640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 6892640 is about 2625.3837814689. The cubic root of 6892640 is about 190.3101122208.

The spelling of 6892640 in words is "six million, eight hundred ninety-two thousand, six hundred forty".