164098000 has 80 divisors (see below), whose sum is σ = 432918720. Its totient is φ = 59664000.

The previous prime is 164097971. The next prime is 164098001. The reversal of 164098000 is 890461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 164098000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164098001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18271 + ... + 25729.

It is an arithmetic number, because the mean of its divisors is an integer number (5411484).

Almost surely, 2^164098000 is an apocalyptic number.

164098000 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 164098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216459360).

164098000 is an abundant number, since it is smaller than the sum of its proper divisors (268820720).

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

164098000 is a wasteful number, since it uses less digits than its factorization.

164098000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7493 (or 7477 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 164098000 is about 12810.0741605972. The cubic root of 164098000 is about 547.4793748268.

The spelling of 164098000 in words is "one hundred sixty-four million, ninety-eight thousand".