6765640 has 64 divisors (see below), whose sum is σ = 17688960. Its totient is φ = 2280960.

The previous prime is 6765631. The next prime is 6765673. The reversal of 6765640 is 465676.

It is a junction number, because it is equal to n+sod(n) for n = 6765596 and 6765605.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20275 + ... + 20605.

It is an arithmetic number, because the mean of its divisors is an integer number (276390).

Almost surely, 2^6765640 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 6765640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8844480).

6765640 is an abundant number, since it is smaller than the sum of its proper divisors (10923320).

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

6765640 is a wasteful number, since it uses less digits than its factorization.

6765640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 6765640 is about 2601.0843892500. The cubic root of 6765640 is about 189.1340090811.

The spelling of 6765640 in words is "six million, seven hundred sixty-five thousand, six hundred forty".