164573200 has 120 divisors (see below), whose sum is σ = 436463136. Its totient is φ = 59136000.

The previous prime is 164573197. The next prime is 164573251. The reversal of 164573200 is 2375461.

164573200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 497035 + ... + 497365.

Almost surely, 2^164573200 is an apocalyptic number.

164573200 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 164573200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218231568).

164573200 is an abundant number, since it is smaller than the sum of its proper divisors (271889936).

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

164573200 is a wasteful number, since it uses less digits than its factorization.

164573200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 164573200 is about 12828.6086540981. The cubic root of 164573200 is about 548.0073346915.

The spelling of 164573200 in words is "one hundred sixty-four million, five hundred seventy-three thousand, two hundred".