167865984 has 192 divisors, whose sum is σ = 568058400. Its totient is φ = 46909440.

The previous prime is 167865979. The next prime is 167865989. The reversal of 167865984 is 489568761.

167865984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (167865979) and next prime (167865989).

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 167865984.

It is not an unprimeable number, because it can be changed into a prime (167865989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164227 + ... + 165245.

Almost surely, 2^167865984 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 167865984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284029200).

167865984 is an abundant number, since it is smaller than the sum of its proper divisors (400192416).

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

167865984 is a wasteful number, since it uses less digits than its factorization.

167865984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1048 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 167865984 is about 12956.3105859654. The cubic root of 167865984 is about 551.6380740295.

The spelling of 167865984 in words is "one hundred sixty-seven million, eight hundred sixty-five thousand, nine hundred eighty-four".