806607 has 24 divisors (see below), whose sum is σ = 1263600. Its totient is φ = 494208.

The previous prime is 806581. The next prime is 806609. The reversal of 806607 is 706608.

It is not a de Polignac number, because 806607 - 2⁶ = 806543 is a prime.

It is a super-2 number, since 2×806607² = 1301229704898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9019 + ... + 9107.

It is an arithmetic number, because the mean of its divisors is an integer number (52650).

2⁸⁰⁶⁶⁰⁷ is an apocalyptic number.

806607 is a deficient number, since it is larger than the sum of its proper divisors (456993).

806607 is a wasteful number, since it uses less digits than its factorization.

806607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 806607 is about 898.1130218408. The cubic root of 806607 is about 93.0866344974.

Subtracting from 806607 its reverse (706608), we obtain a palindrome (99999).

The spelling of 806607 in words is "eight hundred six thousand, six hundred seven".