6966816 has 48 divisors (see below), whose sum is σ = 18885888. Its totient is φ = 2246400.

The previous prime is 6966811. The next prime is 6966823. The reversal of 6966816 is 6186696.

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

It is not an unprimeable number, because it can be changed into a prime (6966811) 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, 1806 + ... + 4146.

It is an arithmetic number, because the mean of its divisors is an integer number (393456).

Almost surely, 2^6966816 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 6966816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9442944).

6966816 is an abundant number, since it is smaller than the sum of its proper divisors (11919072).

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

6966816 is a wasteful number, since it uses less digits than its factorization.

6966816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2377 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 6966816 is about 2639.4726746076. The cubic root of 6966816 is about 190.9903597923.

The spelling of 6966816 in words is "six million, nine hundred sixty-six thousand, eight hundred sixteen".