164989200 has 60 divisors (see below), whose sum is σ = 528519248. Its totient is φ = 43996800.

The previous prime is 164989169. The next prime is 164989213. The reversal of 164989200 is 2989461.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×164989200² = 54442872233280000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 67546 + ... + 69945.

Almost surely, 2^164989200 is an apocalyptic number.

164989200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164989200 is an abundant number, since it is smaller than the sum of its proper divisors (363530048).

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

164989200 is a wasteful number, since it uses less digits than its factorization.

164989200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137512 (or 137501 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 164989200 is about 12844.8121823560. The cubic root of 164989200 is about 548.4686881315.

The spelling of 164989200 in words is "one hundred sixty-four million, nine hundred eighty-nine thousand, two hundred".