168042816 has 112 divisors (see below), whose sum is σ = 510113280. Its totient is φ = 54190080.

The previous prime is 168042811. The next prime is 168042817. The reversal of 168042816 is 618240861.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168042811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52000 + ... + 55136.

Almost surely, 2^168042816 is an apocalyptic number.

168042816 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 168042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255056640).

168042816 is an abundant number, since it is smaller than the sum of its proper divisors (342070464).

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

168042816 is a wasteful number, since it uses less digits than its factorization.

168042816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 168042816 is about 12963.1329546526. The cubic root of 168042816 is about 551.8317067301.

The spelling of 168042816 in words is "one hundred sixty-eight million, forty-two thousand, eight hundred sixteen".