164650200 has 384 divisors, whose sum is σ = 637459200. Its totient is φ = 34560000.

The previous prime is 164650193. The next prime is 164650229. The reversal of 164650200 is 2056461.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 1630150 + ... + 1630250.

It is an arithmetic number, because the mean of its divisors is an integer number (1660050).

Almost surely, 2^164650200 is an apocalyptic number.

164650200 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 164650200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729600).

164650200 is an abundant number, since it is smaller than the sum of its proper divisors (472809000).

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

164650200 is a wasteful number, since it uses less digits than its factorization.

164650200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 164650200 is about 12831.6094080205. The cubic root of 164650200 is about 548.0927880248.

The spelling of 164650200 in words is "one hundred sixty-four million, six hundred fifty thousand, two hundred".