164805120 has 240 divisors, whose sum is σ = 597497472. Its totient is φ = 41902080.

The previous prime is 164805073. The next prime is 164805131. The reversal of 164805120 is 21508461.

164805120 is a `hidden beast` number, since 1 + 648 + 0 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 529765 + ... + 530075.

Almost surely, 2^164805120 is an apocalyptic number.

164805120 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 164805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298748736).

164805120 is an abundant number, since it is smaller than the sum of its proper divisors (432692352).

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

164805120 is a wasteful number, since it uses less digits than its factorization.

164805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 164805120 is about 12837.6446437810. The cubic root of 164805120 is about 548.2646350025.

The spelling of 164805120 in words is "one hundred sixty-four million, eight hundred five thousand, one hundred twenty".