201768030 has 128 divisors (see below), whose sum is σ = 582220800. Its totient is φ = 49548672.

The previous prime is 201767999. The next prime is 201768037. The reversal of 201768030 is 30867102.

201768030 is digitally balanced in base 2 and base 3, 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 201767985 and 201768003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201768037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189279 + ... + 190341.

It is an arithmetic number, because the mean of its divisors is an integer number (4548600).

Almost surely, 2^201768030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201768030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291110400).

201768030 is an abundant number, since it is smaller than the sum of its proper divisors (380452770).

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

201768030 is a wasteful number, since it uses less digits than its factorization.

201768030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 201768030 is about 14204.5073832217. The cubic root of 201768030 is about 586.5217448653.

The spelling of 201768030 in words is "two hundred one million, seven hundred sixty-eight thousand, thirty".