164576000 has 144 divisors (see below), whose sum is σ = 424089120. Its totient is φ = 63590400.

The previous prime is 164575981. The next prime is 164576021. The reversal of 164576000 is 675461.

164576000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183931 + ... + 1184069.

Almost surely, 2^164576000 is an apocalyptic number.

164576000 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 164576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212044560).

164576000 is an abundant number, since it is smaller than the sum of its proper divisors (259513120).

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

164576000 is an equidigital number, since it uses as much as digits as its factorization.

164576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 164576000 is about 12828.7177847203. The cubic root of 164576000 is about 548.0104425524.

The spelling of 164576000 in words is "one hundred sixty-four million, five hundred seventy-six thousand".