164322816 has 320 divisors, whose sum is σ = 565678080. Its totient is φ = 41287680.

The previous prime is 164322797. The next prime is 164322817. The reversal of 164322816 is 618223461.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164322817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5300721 + ... + 5300751.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 2^164322816 is an apocalyptic number.

164322816 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 164322816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282839040).

164322816 is an abundant number, since it is smaller than the sum of its proper divisors (401355264).

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

164322816 is a wasteful number, since it uses less digits than its factorization.

164322816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 164322816 is about 12818.8461259194. The cubic root of 164322816 is about 547.7292782543.

The spelling of 164322816 in words is "one hundred sixty-four million, three hundred twenty-two thousand, eight hundred sixteen".