164303200 has 72 divisors (see below), whose sum is σ = 408020760. Its totient is φ = 64607360.

The previous prime is 164303177. The next prime is 164303207. The reversal of 164303200 is 2303461.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164303207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2784771 + ... + 2784829.

It is an arithmetic number, because the mean of its divisors is an integer number (5666955).

Almost surely, 2^164303200 is an apocalyptic number.

164303200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204010380).

164303200 is an abundant number, since it is smaller than the sum of its proper divisors (243717560).

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

164303200 is an frugal number, since it uses more digits than its factorization.

164303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 164303200 is about 12818.0809796163. The cubic root of 164303200 is about 547.7074823663.

Adding to 164303200 its reverse (2303461), we get a palindrome (166606661).

The spelling of 164303200 in words is "one hundred sixty-four million, three hundred three thousand, two hundred".