164680605 has 18 divisors (see below), whose sum is σ = 285595674. Its totient is φ = 87783744.

The previous prime is 164680591. The next prime is 164680609. The reversal of 164680605 is 506086461.

164680605 is a `hidden beast` number, since 1 + 6 + 46 + 8 + 0 + 605 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 74753316 + 89927289 = 8646^2 + 9483^2 .

It is not a de Polignac number, because 164680605 - 2⁹ = 164680093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164680605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164680609) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 85129 + ... + 87041.

Almost surely, 2^164680605 is an apocalyptic number.

164680605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164680605 is a deficient number, since it is larger than the sum of its proper divisors (120915069).

164680605 is an frugal number, since it uses more digits than its factorization.

164680605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 164680605 is about 12832.7941228713. The cubic root of 164680605 is about 548.1265236565.

The spelling of 164680605 in words is "one hundred sixty-four million, six hundred eighty thousand, six hundred five".