201684168 has 96 divisors (see below), whose sum is σ = 647424960. Its totient is φ = 57620160.

The previous prime is 201684163. The next prime is 201684199. The reversal of 201684168 is 861486102.

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

It is not an unprimeable number, because it can be changed into a prime (201684163) 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 23 ways as a sum of consecutive naturals, for example, 6198 + ... + 21018.

It is an arithmetic number, because the mean of its divisors is an integer number (6744010).

Almost surely, 2^201684168 is an apocalyptic number.

201684168 is a gapful number since it is divisible by the number (28) 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 201684168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323712480).

201684168 is an abundant number, since it is smaller than the sum of its proper divisors (445740792).

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

201684168 is a wasteful number, since it uses less digits than its factorization.

201684168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14849 (or 14833 counting only the distinct ones).

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

The square root of 201684168 is about 14201.5551261121. Note that the first 3 decimals coincide. The cubic root of 201684168 is about 586.4404738090.

It can be divided in two parts, 20168 and 4168, that added together give a square (24336 = 156²).

The spelling of 201684168 in words is "two hundred one million, six hundred eighty-four thousand, one hundred sixty-eight".