6814464 has 72 divisors (see below), whose sum is σ = 19131840. Its totient is φ = 2147328.

The previous prime is 6814459. The next prime is 6814519. The reversal of 6814464 is 4644186.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14359 + ... + 14825.

It is an arithmetic number, because the mean of its divisors is an integer number (265720).

Almost surely, 2^6814464 is an apocalyptic number.

6814464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9565920).

6814464 is an abundant number, since it is smaller than the sum of its proper divisors (12317376).

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

6814464 is a wasteful number, since it uses less digits than its factorization.

6814464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 491 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 6814464 is about 2610.4528342799. The cubic root of 6814464 is about 189.5878786604.

The spelling of 6814464 in words is "six million, eight hundred fourteen thousand, four hundred sixty-four".