168538816 has 112 divisors (see below), whose sum is σ = 386242560. Its totient is φ = 72437760.

The previous prime is 168538793. The next prime is 168538831. The reversal of 168538816 is 618835861.

168538816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 640701 + ... + 640963.

Almost surely, 2^168538816 is an apocalyptic number.

168538816 is a gapful number since it is divisible by the number (16) 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 168538816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193121280).

168538816 is an abundant number, since it is smaller than the sum of its proper divisors (217703744).

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

168538816 is a wasteful number, since it uses less digits than its factorization.

168538816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 332 counting only the distinct ones).

The product of its digits is 276480, while the sum is 46.

The square root of 168538816 is about 12982.2500361070. The cubic root of 168538816 is about 552.3741075271.

The spelling of 168538816 in words is "one hundred sixty-eight million, five hundred thirty-eight thousand, eight hundred sixteen".