1608210120 has 128 divisors (see below), whose sum is σ = 5302247040. Its totient is φ = 386979840.

The previous prime is 1608210119. The next prime is 1608210127. The reversal of 1608210120 is 210128061.

It is not an unprimeable number, because it can be changed into a prime (1608210127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176394 + ... + 185286.

It is an arithmetic number, because the mean of its divisors is an integer number (41423805).

Almost surely, 2^1608210120 is an apocalyptic number.

1608210120 is a gapful number since it is divisible by the number (10) 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 1608210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651123520).

1608210120 is an abundant number, since it is smaller than the sum of its proper divisors (3694036920).

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

1608210120 is a wasteful number, since it uses less digits than its factorization.

1608210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9055 (or 9051 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1608210120 is about 40102.4951842152. The cubic root of 1608210120 is about 1171.6042279010.

Adding to 1608210120 its reverse (210128061), we get a palindrome (1818338181).

The spelling of 1608210120 in words is "one billion, six hundred eight million, two hundred ten thousand, one hundred twenty".