164430168 has 128 divisors (see below), whose sum is σ = 488332800. Its totient is φ = 45167616.

The previous prime is 164430157. The next prime is 164430179. The reversal of 164430168 is 861034461.

It is an interprime number because it is at equal distance from previous prime (164430157) and next prime (164430179).

It is a super-3 number, since 3×164430168³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 525180 + ... + 525492.

It is an arithmetic number, because the mean of its divisors is an integer number (3815100).

Almost surely, 2^164430168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164430168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244166400).

164430168 is an abundant number, since it is smaller than the sum of its proper divisors (323902632).

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

164430168 is a wasteful number, since it uses less digits than its factorization.

164430168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 164430168 is about 12823.0327146116. The cubic root of 164430168 is about 547.8485293620.

The spelling of 164430168 in words is "one hundred sixty-four million, four hundred thirty thousand, one hundred sixty-eight".