1609288068 has 192 divisors, whose sum is σ = 4402944000. Its totient is φ = 454035456.

The previous prime is 1609288067. The next prime is 1609288069. The reversal of 1609288068 is 8608829061.

It is an interprime number because it is at equal distance from previous prime (1609288067) and next prime (1609288069).

It is not an unprimeable number, because it can be changed into a prime (1609288061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11577543 + ... + 11577681.

It is an arithmetic number, because the mean of its divisors is an integer number (22932000).

Almost surely, 2^1609288068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1609288068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201472000).

1609288068 is an abundant number, since it is smaller than the sum of its proper divisors (2793655932).

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

1609288068 is a wasteful number, since it uses less digits than its factorization.

1609288068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 1609288068 is about 40115.9328446940. The cubic root of 1609288068 is about 1171.8659363167.

The spelling of 1609288068 in words is "one billion, six hundred nine million, two hundred eighty-eight thousand, sixty-eight".