167984128 has 44 divisors (see below), whose sum is σ = 361663960. Its totient is φ = 77524992.

The previous prime is 167984119. The next prime is 167984129. The reversal of 167984128 is 821489761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167984129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7003 + ... + 19621.

Almost surely, 2^167984128 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 167984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180831980).

167984128 is an abundant number, since it is smaller than the sum of its proper divisors (193679832).

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

167984128 is a wasteful number, since it uses less digits than its factorization.

167984128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12652 (or 12634 counting only the distinct ones).

The product of its digits is 193536, while the sum is 46.

The square root of 167984128 is about 12960.8691066610. The cubic root of 167984128 is about 551.7674578859.

The spelling of 167984128 in words is "one hundred sixty-seven million, nine hundred eighty-four thousand, one hundred twenty-eight".