168333984 has 192 divisors, whose sum is σ = 604558080. Its totient is φ = 44375040.

The previous prime is 168333967. The next prime is 168334031. The reversal of 168333984 is 489333861.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77554 + ... + 79694.

It is an arithmetic number, because the mean of its divisors is an integer number (3148740).

Almost surely, 2^168333984 is an apocalyptic number.

168333984 is a gapful number since it is divisible by the number (14) 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 168333984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302279040).

168333984 is an abundant number, since it is smaller than the sum of its proper divisors (436224096).

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

168333984 is a wasteful number, since it uses less digits than its factorization.

168333984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2166 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 168333984 is about 12974.3587124759. The cubic root of 168333984 is about 552.1502426573.

The spelling of 168333984 in words is "one hundred sixty-eight million, three hundred thirty-three thousand, nine hundred eighty-four".