164163200 has 144 divisors (see below), whose sum is σ = 426885810. Its totient is φ = 62361600.

The previous prime is 164163187. The next prime is 164163217. The reversal of 164163200 is 2361461.

It is a happy number.

164163200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 118336 + 164044864 = 344^2 + 12808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2691170 + ... + 2691230.

Almost surely, 2^164163200 is an apocalyptic number.

164163200 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 164163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213442905).

164163200 is an abundant number, since it is smaller than the sum of its proper divisors (262722610).

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

164163200 is an equidigital number, since it uses as much as digits as its factorization.

164163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 164163200 is about 12812.6187799372. The cubic root of 164163200 is about 547.5518740421.

The spelling of 164163200 in words is "one hundred sixty-four million, one hundred sixty-three thousand, two hundred".