164923200 has 252 divisors, whose sum is σ = 631982988. Its totient is φ = 40550400.

The previous prime is 164923169. The next prime is 164923217. The reversal of 164923200 is 2329461.

It can be written as a sum of positive squares in 6 ways, for example, as 39841344 + 125081856 = 6312^2 + 11184^2 .

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 186760 + ... + 187640.

It is an arithmetic number, because the mean of its divisors is an integer number (2507869).

Almost surely, 2^164923200 is an apocalyptic number.

164923200 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 164923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315991494).

164923200 is an abundant number, since it is smaller than the sum of its proper divisors (467059788).

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

164923200 is a wasteful number, since it uses less digits than its factorization.

164923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 164923200 is about 12842.2427947769. The cubic root of 164923200 is about 548.3955444321.

The spelling of 164923200 in words is "one hundred sixty-four million, nine hundred twenty-three thousand, two hundred".