6820407 has 18 divisors (see below), whose sum is σ = 10830456. Its totient is φ = 4132920.

The previous prime is 6820393. The next prime is 6820421. The reversal of 6820407 is 7040286.

It is an interprime number because it is at equal distance from previous prime (6820393) and next prime (6820421).

It is not a de Polignac number, because 6820407 - 2¹⁰ = 6819383 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6820007) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2043 + ... + 4220.

It is an arithmetic number, because the mean of its divisors is an integer number (601692).

Almost surely, 2^6820407 is an apocalyptic number.

6820407 is a deficient number, since it is larger than the sum of its proper divisors (4010049).

6820407 is a wasteful number, since it uses less digits than its factorization.

6820407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6291 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6820407 is about 2611.5908944549. The cubic root of 6820407 is about 189.6429768250.

It can be divided in two parts, 6820 and 407, that added together give a palindrome (7227).

The spelling of 6820407 in words is "six million, eight hundred twenty thousand, four hundred seven".