6813936 has 40 divisors (see below), whose sum is σ = 19559760. Its totient is φ = 2271168.

The previous prime is 6813901. The next prime is 6813943. The reversal of 6813936 is 6393186.

It is a happy number.

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 self number, because there is not a number n which added to its sum of digits gives 6813936.

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, 7455 + ... + 8318.

It is an arithmetic number, because the mean of its divisors is an integer number (488994).

Almost surely, 2^6813936 is an apocalyptic number.

It is an amenable number.

6813936 is an abundant number, since it is smaller than the sum of its proper divisors (12745824).

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

6813936 is a wasteful number, since it uses less digits than its factorization.

6813936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15790 (or 15778 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 6813936 is about 2610.3517004419. The cubic root of 6813936 is about 189.5829819688.

The spelling of 6813936 in words is "six million, eight hundred thirteen thousand, nine hundred thirty-six".