168083916 has 144 divisors (see below), whose sum is σ = 536256000. Its totient is φ = 40279680.

The previous prime is 168083869. The next prime is 168083917. The reversal of 168083916 is 619380861.

168083916 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

168083916 is a modest number, since divided by 83916 gives 168 as remainder.

168083916 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (168083917) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83085 + ... + 85083.

It is an arithmetic number, because the mean of its divisors is an integer number (3724000).

Almost surely, 2^168083916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168083916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268128000).

168083916 is an abundant number, since it is smaller than the sum of its proper divisors (368172084).

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

168083916 is a wasteful number, since it uses less digits than its factorization.

168083916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2035 counting only the distinct ones).

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

The square root of 168083916 is about 12964.7181226589. The cubic root of 168083916 is about 551.8766921588.

The spelling of 168083916 in words is "one hundred sixty-eight million, eighty-three thousand, nine hundred sixteen".