1608106500 has 1152 divisors, whose sum is σ = 7529034240. Its totient is φ = 290304000.

The previous prime is 1608106499. The next prime is 1608106523. The reversal of 1608106500 is 56018061.

1608106500 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 1 + 0 + 650 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 94594492 + ... + 94594508.

It is an arithmetic number, because the mean of its divisors is an integer number (6535620).

Almost surely, 2^1608106500 is an apocalyptic number.

1608106500 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 1608106500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764517120).

1608106500 is an abundant number, since it is smaller than the sum of its proper divisors (5920927740).

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

1608106500 is a wasteful number, since it uses less digits than its factorization.

1608106500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1608106500 is about 40101.2032238435. The cubic root of 1608106500 is about 1171.5790644732.

The spelling of 1608106500 in words is "one billion, six hundred eight million, one hundred six thousand, five hundred".