1608388080 has 160 divisors (see below), whose sum is σ = 5399654400. Its totient is φ = 393692160.

The previous prime is 1608388051. The next prime is 1608388087. The reversal of 1608388080 is 808838061.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608388087) 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, 594571 + ... + 597269.

It is an arithmetic number, because the mean of its divisors is an integer number (33747840).

Almost surely, 2^1608388080 is an apocalyptic number.

1608388080 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 1608388080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699827200).

1608388080 is an abundant number, since it is smaller than the sum of its proper divisors (3791266320).

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

1608388080 is a wasteful number, since it uses less digits than its factorization.

1608388080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 1608388080 is about 40104.7139373914. The cubic root of 1608388080 is about 1171.6474417811.

The spelling of 1608388080 in words is "one billion, six hundred eight million, three hundred eighty-eight thousand, eighty".