164793216 has 128 divisors (see below), whose sum is σ = 506050560. Its totient is φ = 46540800.

The previous prime is 164793199. The next prime is 164793247. The reversal of 164793216 is 612397461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 271185 + ... + 271791.

It is an arithmetic number, because the mean of its divisors is an integer number (3953520).

Almost surely, 2^164793216 is an apocalyptic number.

164793216 is a gapful number since it is divisible by the number (16) 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 164793216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253025280).

164793216 is an abundant number, since it is smaller than the sum of its proper divisors (341257344).

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

164793216 is a wasteful number, since it uses less digits than its factorization.

164793216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 720 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 164793216 is about 12837.1809989577. The cubic root of 164793216 is about 548.2514341599.

The spelling of 164793216 in words is "one hundred sixty-four million, seven hundred ninety-three thousand, two hundred sixteen".