201899160 has 192 divisors, whose sum is σ = 689925600. Its totient is φ = 51136512.

The previous prime is 201899153. The next prime is 201899161. The reversal of 201899160 is 61998102.

201899160 is digitally balanced in base 3, because in such base 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201899161) 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 47 ways as a sum of consecutive naturals, for example, 866404 + ... + 866636.

Almost surely, 2^201899160 is an apocalyptic number.

201899160 is a gapful number since it is divisible by the number (20) 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 201899160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344962800).

201899160 is an abundant number, since it is smaller than the sum of its proper divisors (488026440).

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

201899160 is a wasteful number, since it uses less digits than its factorization.

201899160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 201899160 is about 14209.1224218810. The cubic root of 201899160 is about 586.6487784376.

The spelling of 201899160 in words is "two hundred one million, eight hundred ninety-nine thousand, one hundred sixty".