164923648 has 72 divisors (see below), whose sum is σ = 355410720. Its totient is φ = 76124160.

The previous prime is 164923601. The next prime is 164923657. The reversal of 164923648 is 846329461.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199011 + ... + 199837.

It is an arithmetic number, because the mean of its divisors is an integer number (4936260).

Almost surely, 2^164923648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164923648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177705360).

164923648 is an abundant number, since it is smaller than the sum of its proper divisors (190487072).

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

164923648 is an equidigital number, since it uses as much as digits as its factorization.

164923648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 889 counting only the distinct ones).

The product of its digits is 248832, while the sum is 43.

The square root of 164923648 is about 12842.2602372012. The cubic root of 164923648 is about 548.3960409885.

The spelling of 164923648 in words is "one hundred sixty-four million, nine hundred twenty-three thousand, six hundred forty-eight".