164116200 has 48 divisors (see below), whose sum is σ = 508762080. Its totient is φ = 43764160.

The previous prime is 164116193. The next prime is 164116217. The reversal of 164116200 is 2611461.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136164 + ... + 137363.

It is an arithmetic number, because the mean of its divisors is an integer number (10599210).

Almost surely, 2^164116200 is an apocalyptic number.

164116200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164116200 is an abundant number, since it is smaller than the sum of its proper divisors (344645880).

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

164116200 is a wasteful number, since it uses less digits than its factorization.

164116200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273546 (or 273537 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 164116200 is about 12810.7845193025. The cubic root of 164116200 is about 547.4996142697.

Adding to 164116200 its reverse (2611461), we get a palindrome (166727661).

The spelling of 164116200 in words is "one hundred sixty-four million, one hundred sixteen thousand, two hundred".