201605824 has 56 divisors (see below), whose sum is σ = 458581760. Its totient is φ = 86144256.

The previous prime is 201605809. The next prime is 201605837. The reversal of 201605824 is 428506102.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 201605792 and 201605801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276949 + ... + 277675.

It is an arithmetic number, because the mean of its divisors is an integer number (8188960).

Almost surely, 2^201605824 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 201605824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229290880).

201605824 is an abundant number, since it is smaller than the sum of its proper divisors (256975936).

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

201605824 is an equidigital number, since it uses as much as digits as its factorization.

201605824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 201605824 is about 14198.7965687237. The cubic root of 201605824 is about 586.3645299158.

The spelling of 201605824 in words is "two hundred one million, six hundred five thousand, eight hundred twenty-four".