201823720 has 64 divisors (see below), whose sum is σ = 520369920. Its totient is φ = 69010944.

The previous prime is 201823669. The next prime is 201823723. The reversal of 201823720 is 27328102.

201823720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201823723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140124 + ... + 141556.

It is an arithmetic number, because the mean of its divisors is an integer number (8130780).

Almost surely, 2^201823720 is an apocalyptic number.

201823720 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 201823720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260184960).

201823720 is an abundant number, since it is smaller than the sum of its proper divisors (318546200).

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

201823720 is a wasteful number, since it uses less digits than its factorization.

201823720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 201823720 is about 14206.4675412292. The cubic root of 201823720 is about 586.5757018628.

The spelling of 201823720 in words is "two hundred one million, eight hundred twenty-three thousand, seven hundred twenty".