6815916 has 36 divisors (see below), whose sum is σ = 17526600. Its totient is φ = 2232768.

The previous prime is 6815911. The next prime is 6815923. The reversal of 6815916 is 6195186.

6815916 is a `hidden beast` number, since 68 + 1 + 591 + 6 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (6815911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 520 + ... + 3728.

It is an arithmetic number, because the mean of its divisors is an integer number (486850).

Almost surely, 2^6815916 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 6815916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8763300).

6815916 is an abundant number, since it is smaller than the sum of its proper divisors (10710684).

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

6815916 is a wasteful number, since it uses less digits than its factorization.

6815916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3273 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 6815916 is about 2610.7309321338. The cubic root of 6815916 is about 189.6013432581.

The spelling of 6815916 in words is "six million, eight hundred fifteen thousand, nine hundred sixteen".