806605664 has 48 divisors (see below), whose sum is σ = 1686657168. Its totient is φ = 378396672.

The previous prime is 806605649. The next prime is 806605673. The reversal of 806605664 is 466506608.

It is a super-2 number, since 2×806605664² = 1301225394393761792, which contains 22 as substring.

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, 186632 + ... + 190904.

It is an arithmetic number, because the mean of its divisors is an integer number (35138691).

Almost surely, 2^806605664 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 806605664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843328584).

806605664 is an abundant number, since it is smaller than the sum of its proper divisors (880051504).

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

806605664 is a wasteful number, since it uses less digits than its factorization.

806605664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 806605664 is about 28400.8039322833. The cubic root of 806605664 is about 930.8658310364.

The spelling of 806605664 in words is "eight hundred six million, six hundred five thousand, six hundred sixty-four".