6807645 has 48 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 3343680.

The previous prime is 6807641. The next prime is 6807649. The reversal of 6807645 is 5467086.

It is a happy number.

6807645 is a `hidden beast` number, since 6 + 8 + 0 + 7 + 645 = 666.

It is an interprime number because it is at equal distance from previous prime (6807641) and next prime (6807649).

It is not a de Polignac number, because 6807645 - 2² = 6807641 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6807641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15580 + ... + 16010.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 2^6807645 is an apocalyptic number.

6807645 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6807645 is a deficient number, since it is larger than the sum of its proper divisors (6401187).

6807645 is a wasteful number, since it uses less digits than its factorization.

6807645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6807645 is about 2609.1464121433. The cubic root of 6807645 is about 189.5246195298.

It can be divided in two parts, 68076 and 45, that added together give a square (68121 = 261²).

The spelling of 6807645 in words is "six million, eight hundred seven thousand, six hundred forty-five".