164215998 has 112 divisors (see below), whose sum is σ = 396627840. Its totient is φ = 50851152.

The previous prime is 164215991. The next prime is 164216071. The reversal of 164215998 is 899512461.

164215998 is a `hidden beast` number, since 16 + 42 + 1 + 599 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164215991) 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 55 ways as a sum of consecutive naturals, for example, 1978465 + ... + 1978547.

It is an arithmetic number, because the mean of its divisors is an integer number (3541320).

Almost surely, 2^164215998 is an apocalyptic number.

164215998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164215998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198313920).

164215998 is an abundant number, since it is smaller than the sum of its proper divisors (232411842).

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

164215998 is an equidigital number, since it uses as much as digits as its factorization.

164215998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 164215998 is about 12814.6790049537. The cubic root of 164215998 is about 547.6105687742.

The spelling of 164215998 in words is "one hundred sixty-four million, two hundred fifteen thousand, nine hundred ninety-eight".