1609100064 has 288 divisors, whose sum is σ = 5448643200. Its totient is φ = 444026880.

The previous prime is 1609100057. The next prime is 1609100069. The reversal of 1609100064 is 4600019061.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1609100069) 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 47 ways as a sum of consecutive naturals, for example, 3665157 + ... + 3665595.

It is an arithmetic number, because the mean of its divisors is an integer number (18918900).

Almost surely, 2^1609100064 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 1609100064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724321600).

1609100064 is an abundant number, since it is smaller than the sum of its proper divisors (3839543136).

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

1609100064 is a wasteful number, since it uses less digits than its factorization.

1609100064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1609100064 is about 40113.5895177682. The cubic root of 1609100064 is about 1171.8203003887.

The spelling of 1609100064 in words is "one billion, six hundred nine million, one hundred thousand, sixty-four".