6819936 has 48 divisors (see below), whose sum is σ = 18849600. Its totient is φ = 2153088.

The previous prime is 6819931. The next prime is 6819947. The reversal of 6819936 is 6399186.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6819931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46 + ... + 3693.

It is an arithmetic number, because the mean of its divisors is an integer number (392700).

Almost surely, 2^6819936 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 6819936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9424800).

6819936 is an abundant number, since it is smaller than the sum of its proper divisors (12029664).

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

6819936 is a wasteful number, since it uses less digits than its factorization.

6819936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3763 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 6819936 is about 2611.5007179781. The cubic root of 6819936 is about 189.6386113036.

The spelling of 6819936 in words is "six million, eight hundred nineteen thousand, nine hundred thirty-six".