1608812100 has 243 divisors, whose sum is σ = 5896908381. Its totient is φ = 365803200.

The previous prime is 1608812077. The next prime is 1608812141. The reversal of 1608812100 is 12188061.

The square root of 1608812100 is 40110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 579172356 + 1029639744 = 24066^2 + 32088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8423005 + ... + 8423195.

Almost surely, 2^1608812100 is an apocalyptic number.

1608812100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1608812100 is the 40110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1608812100

1608812100 is an abundant number, since it is smaller than the sum of its proper divisors (4288096281).

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

1608812100 is a wasteful number, since it uses less digits than its factorization.

1608812100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The cubic root of 1608812100 is about 1171.7503933643.

The spelling of 1608812100 in words is "one billion, six hundred eight million, eight hundred twelve thousand, one hundred".