168006384 has 120 divisors (see below), whose sum is σ = 578733792. Its totient is φ = 44305920.

The previous prime is 168006373. The next prime is 168006403. The reversal of 168006384 is 483600861.

It is a happy number.

168006384 is a `hidden beast` number, since 16 + 8 + 0 + 0 + 638 + 4 = 666.

It is a super-2 number, since 2×168006384² = 56452290129510912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6694 + ... + 19514.

Almost surely, 2^168006384 is an apocalyptic number.

168006384 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 168006384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289366896).

168006384 is an abundant number, since it is smaller than the sum of its proper divisors (410727408).

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

168006384 is a wasteful number, since it uses less digits than its factorization.

168006384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12855 (or 12846 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 168006384 is about 12961.7276626228. The cubic root of 168006384 is about 551.7918244623.

The spelling of 168006384 in words is "one hundred sixty-eight million, six thousand, three hundred eighty-four".