6807066 has 64 divisors (see below), whose sum is σ = 16450560. Its totient is φ = 1837440.

The previous prime is 6807061. The next prime is 6807067. The reversal of 6807066 is 6607086.

It is a super-2 number, since 2×6807066² = 92672295056712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6807061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101565 + ... + 101631.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^6807066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6807066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225280).

6807066 is an abundant number, since it is smaller than the sum of its proper divisors (9643494).

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

6807066 is a wasteful number, since it uses less digits than its factorization.

6807066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 6807066 is about 2609.0354539561. The cubic root of 6807066 is about 189.5192462636.

The spelling of 6807066 in words is "six million, eight hundred seven thousand, sixty-six".