164808000 has 448 divisors, whose sum is σ = 697382400. Its totient is φ = 37324800.

The previous prime is 164807977. The next prime is 164808001. The reversal of 164808000 is 808461.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164808001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1511946 + ... + 1512054.

Almost surely, 2^164808000 is an apocalyptic number.

164808000 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 164808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348691200).

164808000 is an abundant number, since it is smaller than the sum of its proper divisors (532574400).

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

164808000 is a wasteful number, since it uses less digits than its factorization.

164808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 164808000 is about 12837.7568134001. The cubic root of 164808000 is about 548.2678286593.

The spelling of 164808000 in words is "one hundred sixty-four million, eight hundred eight thousand".