164460168 has 48 divisors (see below), whose sum is σ = 447782400. Its totient is φ = 54528480.

The previous prime is 164460161. The next prime is 164460173. The reversal of 164460168 is 861064461.

164460168 is a `hidden beast` number, since 1 + 6 + 44 + 601 + 6 + 8 = 666.

164460168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (164460161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7773 + ... + 19731.

It is an arithmetic number, because the mean of its divisors is an integer number (9328800).

Almost surely, 2^164460168 is an apocalyptic number.

164460168 is a gapful number since it is divisible by the number (18) 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 164460168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223891200).

164460168 is an abundant number, since it is smaller than the sum of its proper divisors (283322232).

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

164460168 is a wasteful number, since it uses less digits than its factorization.

164460168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12162 (or 12155 counting only the distinct ones).

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

The square root of 164460168 is about 12824.2024313405. The cubic root of 164460168 is about 547.8818453418.

The spelling of 164460168 in words is "one hundred sixty-four million, four hundred sixty thousand, one hundred sixty-eight".