164309112 has 192 divisors, whose sum is σ = 522288000. Its totient is φ = 46137600.

The previous prime is 164309081. The next prime is 164309113. The reversal of 164309112 is 211903461.

164309112 is a `hidden beast` number, since 1 + 643 + 0 + 9 + 1 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164309113) by changing a digit.

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, 917839 + ... + 918017.

It is an arithmetic number, because the mean of its divisors is an integer number (2720250).

Almost surely, 2^164309112 is an apocalyptic number.

164309112 is a gapful number since it is divisible by the number (12) 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 164309112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261144000).

164309112 is an abundant number, since it is smaller than the sum of its proper divisors (357978888).

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

164309112 is a wasteful number, since it uses less digits than its factorization.

164309112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 164309112 is about 12818.3115892851. The cubic root of 164309112 is about 547.7140515380.

The spelling of 164309112 in words is "one hundred sixty-four million, three hundred nine thousand, one hundred twelve".