201829168 has 40 divisors (see below), whose sum is σ = 415567152. Its totient is φ = 94629888.

The previous prime is 201829157. The next prime is 201829217. The reversal of 201829168 is 861928102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82296 + ... + 84712.

Almost surely, 2^201829168 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 201829168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207783576).

201829168 is an abundant number, since it is smaller than the sum of its proper divisors (213737984).

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

201829168 is a wasteful number, since it uses less digits than its factorization.

201829168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 201829168 is about 14206.6592835895. The cubic root of 201829168 is about 586.5809797949.

The spelling of 201829168 in words is "two hundred one million, eight hundred twenty-nine thousand, one hundred sixty-eight".