1601608896 has 112 divisors (see below), whose sum is σ = 4985491680. Its totient is φ = 502456320.

The previous prime is 1601608861. The next prime is 1601608901. The reversal of 1601608896 is 6988061061.

It is a happy number.

It is an unprimeable number.

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, 2116 + ... + 56636.

Almost surely, 2^1601608896 is an apocalyptic number.

1601608896 is a gapful number since it is divisible by the number (16) 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 1601608896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492745840).

1601608896 is an abundant number, since it is smaller than the sum of its proper divisors (3383882784).

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

1601608896 is a wasteful number, since it uses less digits than its factorization.

1601608896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54559 (or 54543 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1601608896 is about 40020.1061467858. The cubic root of 1601608896 is about 1169.9990006566. Note that the first 3 decimals are identical.

The spelling of 1601608896 in words is "one billion, six hundred one million, six hundred eight thousand, eight hundred ninety-six".