168087984 has 80 divisors (see below), whose sum is σ = 463065600. Its totient is φ = 52386048.

The previous prime is 168087977. The next prime is 168088009. The reversal of 168087984 is 489780861.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70882 + ... + 73214.

It is an arithmetic number, because the mean of its divisors is an integer number (5788320).

Almost surely, 2^168087984 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 168087984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231532800).

168087984 is an abundant number, since it is smaller than the sum of its proper divisors (294977616).

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

168087984 is a wasteful number, since it uses less digits than its factorization.

168087984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 168087984 is about 12964.8750090388. The cubic root of 168087984 is about 551.8811443323.

It can be divided in two parts, 168087 and 984, that added together give a triangular number (169071 = T₅₈₁).

The spelling of 168087984 in words is "one hundred sixty-eight million, eighty-seven thousand, nine hundred eighty-four".