168480164 has 24 divisors (see below), whose sum is σ = 309523200. Its totient is φ = 80137440.

The previous prime is 168480161. The next prime is 168480187. The reversal of 168480164 is 461084861.

It is a super-3 number, since 3×168480164³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (168480161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4199 + ... + 18830.

It is an arithmetic number, because the mean of its divisors is an integer number (12896800).

Almost surely, 2^168480164 is an apocalyptic number.

It is an amenable number.

168480164 is a deficient number, since it is larger than the sum of its proper divisors (141043036).

168480164 is a wasteful number, since it uses less digits than its factorization.

168480164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23123 (or 23121 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 168480164 is about 12979.9909090877. The cubic root of 168480164 is about 552.3100241587.

The spelling of 168480164 in words is "one hundred sixty-eight million, four hundred eighty thousand, one hundred sixty-four".