1608466080 has 192 divisors, whose sum is σ = 5590384128. Its totient is φ = 386211840.

The previous prime is 1608466073. The next prime is 1608466087. The reversal of 1608466080 is 806648061.

It is an interprime number because it is at equal distance from previous prime (1608466073) and next prime (1608466087).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1608466087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252697 + ... + 258983.

It is an arithmetic number, because the mean of its divisors is an integer number (29116584).

Almost surely, 2^1608466080 is an apocalyptic number.

1608466080 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 1608466080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795192064).

1608466080 is an abundant number, since it is smaller than the sum of its proper divisors (3981918048).

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

1608466080 is a wasteful number, since it uses less digits than its factorization.

1608466080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6359 (or 6351 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1608466080 is about 40105.6863798639. The cubic root of 1608466080 is about 1171.6663814521. Note that the first 3 decimals are identical.

The spelling of 1608466080 in words is "one billion, six hundred eight million, four hundred sixty-six thousand, eighty".