1605856896 has 384 divisors, whose sum is σ = 5702860800. Its totient is φ = 423512064.

The previous prime is 1605856883. The next prime is 1605856909. The reversal of 1605856896 is 6986585061.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1605856883) and next prime (1605856909).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7201041 + ... + 7201263.

It is an arithmetic number, because the mean of its divisors is an integer number (14851200).

Almost surely, 2^1605856896 is an apocalyptic number.

1605856896 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 1605856896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851430400).

1605856896 is an abundant number, since it is smaller than the sum of its proper divisors (4097003904).

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

1605856896 is a wasteful number, since it uses less digits than its factorization.

1605856896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 1605856896 is about 40073.1443238486. The cubic root of 1605856896 is about 1171.0324964248.

The spelling of 1605856896 in words is "one billion, six hundred five million, eight hundred fifty-six thousand, eight hundred ninety-six".