6814944 has 36 divisors (see below), whose sum is σ = 19380816. Its totient is φ = 2271552.

The previous prime is 6814933. The next prime is 6814957. The reversal of 6814944 is 4494186.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 6814899 and 6814908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11544 + ... + 12119.

It is an arithmetic number, because the mean of its divisors is an integer number (538356).

Almost surely, 2^6814944 is an apocalyptic number.

It is an amenable number.

6814944 is an abundant number, since it is smaller than the sum of its proper divisors (12565872).

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

6814944 is a wasteful number, since it uses less digits than its factorization.

6814944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23679 (or 23668 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 6814944 is about 2610.5447707327. The cubic root of 6814944 is about 189.5923299787.

It can be divided in two parts, 681 and 4944, that added together give a square (5625 = 75²).

The spelling of 6814944 in words is "six million, eight hundred fourteen thousand, nine hundred forty-four".