164673300 has 144 divisors (see below), whose sum is σ = 524966400. Its totient is φ = 39523200.

The previous prime is 164673293. The next prime is 164673317. The reversal of 164673300 is 3376461.

164673300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 458521 + ... + 458879.

It is an arithmetic number, because the mean of its divisors is an integer number (3645600).

Almost surely, 2^164673300 is an apocalyptic number.

164673300 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 164673300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262483200).

164673300 is an abundant number, since it is smaller than the sum of its proper divisors (360293100).

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

164673300 is a wasteful number, since it uses less digits than its factorization.

164673300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 164673300 is about 12832.5094973664. The cubic root of 164673300 is about 548.1184188295.

The spelling of 164673300 in words is "one hundred sixty-four million, six hundred seventy-three thousand, three hundred".