6819264 has 42 divisors (see below), whose sum is σ = 19547840. Its totient is φ = 2272896.

The previous prime is 6819229. The next prime is 6819289. The reversal of 6819264 is 4629186.

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 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, 5344 + ... + 6495.

Almost surely, 2^6819264 is an apocalyptic number.

6819264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6819264 is an abundant number, since it is smaller than the sum of its proper divisors (12728576).

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

6819264 is a wasteful number, since it uses less digits than its factorization.

6819264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11857 (or 11844 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 6819264 is about 2611.3720531552. The cubic root of 6819264 is about 189.6323824410.

The spelling of 6819264 in words is "six million, eight hundred nineteen thousand, two hundred sixty-four".