816600009 has 32 divisors (see below), whose sum is σ = 1146182400. Its totient is φ = 516454400.

The previous prime is 816599977. The next prime is 816600017. The reversal of 816600009 is 900006618.

It is a cyclic number.

It is not a de Polignac number, because 816600009 - 2⁵ = 816599977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (816600209) 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, 2036209 + ... + 2036609.

It is an arithmetic number, because the mean of its divisors is an integer number (35818200).

Almost surely, 2^816600009 is an apocalyptic number.

816600009 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

816600009 is a deficient number, since it is larger than the sum of its proper divisors (329582391).

816600009 is a wasteful number, since it uses less digits than its factorization.

816600009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 816600009 is about 28576.2140424515. The cubic root of 816600009 is about 934.6947287136.

The spelling of 816600009 in words is "eight hundred sixteen million, six hundred thousand, nine".