164565600 has 144 divisors (see below), whose sum is σ = 539965440. Its totient is φ = 43532800.

The previous prime is 164565589. The next prime is 164565607. The reversal of 164565600 is 6565461.

164565600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164565607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458221 + ... + 458579.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^164565600 is an apocalyptic number.

164565600 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 164565600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

164565600 is an abundant number, since it is smaller than the sum of its proper divisors (375399840).

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

164565600 is a wasteful number, since it uses less digits than its factorization.

164565600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 164565600 is about 12828.3124377293. The cubic root of 164565600 is about 547.9988988914.

The spelling of 164565600 in words is "one hundred sixty-four million, five hundred sixty-five thousand, six hundred".