1608540000 has 480 divisors, whose sum is σ = 5951594880. Its totient is φ = 377856000.

The previous prime is 1608539993. The next prime is 1608540007. The reversal of 1608540000 is 458061.

It is an interprime number because it is at equal distance from previous prime (1608539993) and next prime (1608540007).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608540007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19379959 + ... + 19380041.

It is an arithmetic number, because the mean of its divisors is an integer number (12399156).

Almost surely, 2^1608540000 is an apocalyptic number.

1608540000 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 1608540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975797440).

1608540000 is an abundant number, since it is smaller than the sum of its proper divisors (4343054880).

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

1608540000 is a wasteful number, since it uses less digits than its factorization.

1608540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1608540000 is about 40106.6079343542. The cubic root of 1608540000 is about 1171.6843298676.

Adding to 1608540000 its reverse (458061), we get a palindrome (1608998061).

The spelling of 1608540000 in words is "one billion, six hundred eight million, five hundred forty thousand".