201684096 has 96 divisors (see below), whose sum is σ = 600479100. Its totient is φ = 64899072.

The previous prime is 201684083. The next prime is 201684113. The reversal of 201684096 is 690486102.

It can be written as a sum of positive squares in 2 ways, for example, as 197121600 + 4562496 = 14040^2 + 2136^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 201684096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30390 + ... + 36426.

Almost surely, 2^201684096 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 201684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300239550).

201684096 is an abundant number, since it is smaller than the sum of its proper divisors (398795004).

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

201684096 is a wasteful number, since it uses less digits than its factorization.

201684096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6086 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 201684096 is about 14201.5525911782. The cubic root of 201684096 is about 586.4404040238.

The spelling of 201684096 in words is "two hundred one million, six hundred eighty-four thousand, ninety-six".