6814420 has 48 divisors (see below), whose sum is σ = 15321600. Its totient is φ = 2540160.

The previous prime is 6814411. The next prime is 6814429. The reversal of 6814420 is 244186.

6814420 = 667² + 668² + ... + 681².

It is an interprime number because it is at equal distance from previous prime (6814411) and next prime (6814429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6814429) 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, 17791 + ... + 18169.

It is an arithmetic number, because the mean of its divisors is an integer number (319200).

Almost surely, 2^6814420 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 6814420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660800).

6814420 is an abundant number, since it is smaller than the sum of its proper divisors (8507180).

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

6814420 is a wasteful number, since it uses less digits than its factorization.

6814420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 6814420 is about 2610.4444066097. Note that the first 4 decimals coincide. The cubic root of 6814420 is about 189.5874706124.

The spelling of 6814420 in words is "six million, eight hundred fourteen thousand, four hundred twenty".