1608356960 has 96 divisors (see below), whose sum is σ = 4369075200. Its totient is φ = 548070912.

The previous prime is 1608356957. The next prime is 1608356963. The reversal of 1608356960 is 696538061.

It is an interprime number because it is at equal distance from previous prime (1608356957) and next prime (1608356963).

It is a super-2 number, since 2×1608356960² = 5173624221560883200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608356963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 182741 + ... + 191339.

It is an arithmetic number, because the mean of its divisors is an integer number (45511200).

Almost surely, 2^1608356960 is an apocalyptic number.

1608356960 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 1608356960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184537600).

1608356960 is an abundant number, since it is smaller than the sum of its proper divisors (2760718240).

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

1608356960 is a wasteful number, since it uses less digits than its factorization.

1608356960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8788 (or 8780 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 1608356960 is about 40104.3259511988. The cubic root of 1608356960 is about 1171.6398851672.

The spelling of 1608356960 in words is "one billion, six hundred eight million, three hundred fifty-six thousand, nine hundred sixty".