164553216 has 80 divisors (see below), whose sum is σ = 441936000. Its totient is φ = 54407168.

The previous prime is 164553197. The next prime is 164553223. The reversal of 164553216 is 612355461.

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 7 ways as a sum of consecutive naturals, for example, 228505 + ... + 229223.

It is an arithmetic number, because the mean of its divisors is an integer number (5524200).

Almost surely, 2^164553216 is an apocalyptic number.

164553216 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 164553216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220968000).

164553216 is an abundant number, since it is smaller than the sum of its proper divisors (277382784).

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

164553216 is an equidigital number, since it uses as much as digits as its factorization.

164553216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 873 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 164553216 is about 12827.8297462977. The cubic root of 164553216 is about 547.9851524206.

The spelling of 164553216 in words is "one hundred sixty-four million, five hundred fifty-three thousand, two hundred sixteen".