168416 has 24 divisors (see below), whose sum is σ = 350280. Its totient is φ = 79488.

The previous prime is 168409. The next prime is 168433. The reversal of 168416 is 614861.

It is a congruent number.

It is an unprimeable number.

168416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 470 + ... + 746.

It is an arithmetic number, because the mean of its divisors is an integer number (14595).

2¹⁶⁸⁴¹⁶ is an apocalyptic number.

168416 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 168416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175140).

168416 is an abundant number, since it is smaller than the sum of its proper divisors (181864).

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

168416 is a wasteful number, since it uses less digits than its factorization.

168416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 168416 is about 410.3851849178. The cubic root of 168416 is about 55.2239901324.

The spelling of 168416 in words is "one hundred sixty-eight thousand, four hundred sixteen".