164728920 has 64 divisors (see below), whose sum is σ = 497514240. Its totient is φ = 43632000.

The previous prime is 164728919. The next prime is 164728931. The reversal of 164728920 is 29827461.

164728920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 13575 + ... + 22665.

It is an arithmetic number, because the mean of its divisors is an integer number (7773660).

Almost surely, 2^164728920 is an apocalyptic number.

164728920 is a gapful number since it is divisible by the number (10) 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 164728920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248757120).

164728920 is an abundant number, since it is smaller than the sum of its proper divisors (332785320).

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

164728920 is a wasteful number, since it uses less digits than its factorization.

164728920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9256 (or 9252 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 164728920 is about 12834.6764665106. The cubic root of 164728920 is about 548.1801226490.

The spelling of 164728920 in words is "one hundred sixty-four million, seven hundred twenty-eight thousand, nine hundred twenty".