164684800 has 132 divisors (see below), whose sum is σ = 467043520. Its totient is φ = 56401920.

The previous prime is 164684789. The next prime is 164684801. The reversal of 164684800 is 8486461.

164684800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164684800.

It is not an unprimeable number, because it can be changed into a prime (164684801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178741 + ... + 179659.

Almost surely, 2^164684800 is an apocalyptic number.

164684800 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 164684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233521760).

164684800 is an abundant number, since it is smaller than the sum of its proper divisors (302358720).

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

164684800 is an equidigital number, since it uses as much as digits as its factorization.

164684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 164684800 is about 12832.9575702564. The cubic root of 164684800 is about 548.1311778602.

The spelling of 164684800 in words is "one hundred sixty-four million, six hundred eighty-four thousand, eight hundred".