1608750640 has 320 divisors, whose sum is σ = 4756838400. Its totient is φ = 493903872.

The previous prime is 1608750623. The next prime is 1608750677. The reversal of 1608750640 is 460578061.

It is a self number, because there is not a number n which added to its sum of digits gives 1608750640.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 22037644 + ... + 22037716.

It is an arithmetic number, because the mean of its divisors is an integer number (14865120).

Almost surely, 2^1608750640 is an apocalyptic number.

1608750640 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 1608750640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378419200).

1608750640 is an abundant number, since it is smaller than the sum of its proper divisors (3148087760).

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

1608750640 is a wasteful number, since it uses less digits than its factorization.

1608750640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 1608750640 is about 40109.2338495763. The cubic root of 1608750640 is about 1171.7354720659.

The spelling of 1608750640 in words is "one billion, six hundred eight million, seven hundred fifty thousand, six hundred forty".