1596416256 has 144 divisors (see below), whose sum is σ = 4788846720. Its totient is φ = 524482560.

The previous prime is 1596416249. The next prime is 1596416257. The reversal of 1596416256 is 6526146951.

1596416256 is a `hidden beast` number, since 1 + 596 + 4 + 1 + 6 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1596416257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489126 + ... + 492378.

It is an arithmetic number, because the mean of its divisors is an integer number (33255880).

Almost surely, 2^1596416256 is an apocalyptic number.

1596416256 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 1596416256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394423360).

1596416256 is an abundant number, since it is smaller than the sum of its proper divisors (3192430464).

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

1596416256 is an equidigital number, since it uses as much as digits as its factorization.

1596416256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3329 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 1596416256 is about 39955.1780874519. The cubic root of 1596416256 is about 1168.7331982447.

The spelling of 1596416256 in words is "one billion, five hundred ninety-six million, four hundred sixteen thousand, two hundred fifty-six".