164809392 has 80 divisors (see below), whose sum is σ = 479493120. Its totient is φ = 48326400.

The previous prime is 164809391. The next prime is 164809427. The reversal of 164809392 is 293908461.

It is not an unprimeable number, because it can be changed into a prime (164809391) 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 15 ways as a sum of consecutive naturals, for example, 11334 + ... + 21402.

It is an arithmetic number, because the mean of its divisors is an integer number (5993664).

Almost surely, 2^164809392 is an apocalyptic number.

164809392 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 164809392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239746560).

164809392 is an abundant number, since it is smaller than the sum of its proper divisors (314683728).

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

164809392 is a wasteful number, since it uses less digits than its factorization.

164809392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10122 (or 10116 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 164809392 is about 12837.8110283646. The cubic root of 164809392 is about 548.2693722467.

The spelling of 164809392 in words is "one hundred sixty-four million, eight hundred nine thousand, three hundred ninety-two".