168916416 has 112 divisors (see below), whose sum is σ = 482803200. Its totient is φ = 51960832.

The previous prime is 168916399. The next prime is 168916417. The reversal of 168916416 is 614619861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168916417) by changing a digit.

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, 127405 + ... + 128723.

Almost surely, 2^168916416 is an apocalyptic number.

168916416 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 168916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241401600).

168916416 is an abundant number, since it is smaller than the sum of its proper divisors (313886784).

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

168916416 is a wasteful number, since it uses less digits than its factorization.

168916416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1376 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 168916416 is about 12996.7848331809. The cubic root of 168916416 is about 552.7863189774.

The spelling of 168916416 in words is "one hundred sixty-eight million, nine hundred sixteen thousand, four hundred sixteen".