6814640 has 80 divisors (see below), whose sum is σ = 18594048. Its totient is φ = 2274048.

The previous prime is 6814631. The next prime is 6814649. The reversal of 6814640 is 464186.

It is an interprime number because it is at equal distance from previous prime (6814631) and next prime (6814649).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (6814649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23939 + ... + 24221.

Almost surely, 2^6814640 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 6814640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9297024).

6814640 is an abundant number, since it is smaller than the sum of its proper divisors (11779408).

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

6814640 is a wasteful number, since it uses less digits than its factorization.

6814640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 6814640 is about 2610.4865446886. The cubic root of 6814640 is about 189.5895108347.

It can be divided in two parts, 68146 and 40, that added together give a palindrome (68186).

The spelling of 6814640 in words is "six million, eight hundred fourteen thousand, six hundred forty".