164355800 has 144 divisors (see below), whose sum is σ = 459702720. Its totient is φ = 54432000.

The previous prime is 164355797. The next prime is 164355811. The reversal of 164355800 is 8553461.

It is a happy number.

164355800 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 303530 + ... + 304070.

It is an arithmetic number, because the mean of its divisors is an integer number (3192380).

Almost surely, 2^164355800 is an apocalyptic number.

164355800 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 164355800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229851360).

164355800 is an abundant number, since it is smaller than the sum of its proper divisors (295346920).

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

164355800 is a wasteful number, since it uses less digits than its factorization.

164355800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 164355800 is about 12820.1326046184. The cubic root of 164355800 is about 547.7659237920.

The spelling of 164355800 in words is "one hundred sixty-four million, three hundred fifty-five thousand, eight hundred".