164340000 has 360 divisors, whose sum is σ = 644756112. Its totient is φ = 39360000.

The previous prime is 164339999. The next prime is 164340017. The reversal of 164340000 is 43461.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 59 ways as a sum of consecutive naturals, for example, 1979959 + ... + 1980041.

Almost surely, 2^164340000 is an apocalyptic number.

164340000 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 164340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322378056).

164340000 is an abundant number, since it is smaller than the sum of its proper divisors (480416112).

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

164340000 is a wasteful number, since it uses less digits than its factorization.

164340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 164340000 is about 12819.5163715329. The cubic root of 164340000 is about 547.7483704536.

Adding to 164340000 its reverse (43461), we get a palindrome (164383461).

The spelling of 164340000 in words is "one hundred sixty-four million, three hundred forty thousand".