164386800 has 240 divisors, whose sum is σ = 605199360. Its totient is φ = 42336000.

The previous prime is 164386793. The next prime is 164386801. The reversal of 164386800 is 8683461.

It is a happy number.

164386800 is a `hidden beast` number, since 1 + 643 + 8 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164386801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334555 + ... + 335045.

It is an arithmetic number, because the mean of its divisors is an integer number (2521664).

Almost surely, 2^164386800 is an apocalyptic number.

164386800 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 164386800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302599680).

164386800 is an abundant number, since it is smaller than the sum of its proper divisors (440812560).

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

164386800 is a wasteful number, since it uses less digits than its factorization.

164386800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 164386800 is about 12821.3415834693. The cubic root of 164386800 is about 547.8003606178.

The spelling of 164386800 in words is "one hundred sixty-four million, three hundred eighty-six thousand, eight hundred".