1605824256 has 72 divisors (see below), whose sum is σ = 4302824400. Its totient is φ = 531644416.

The previous prime is 1605824251. The next prime is 1605824303. The reversal of 1605824256 is 6524285061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1605824251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107416 + ... + 121448.

It is an arithmetic number, because the mean of its divisors is an integer number (59761450).

Almost surely, 2^1605824256 is an apocalyptic number.

1605824256 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 1605824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151412200).

1605824256 is an abundant number, since it is smaller than the sum of its proper divisors (2697000144).

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

1605824256 is a wasteful number, since it uses less digits than its factorization.

1605824256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14201 (or 14187 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 1605824256 is about 40072.7370664895. The cubic root of 1605824256 is about 1171.0245623929.

The spelling of 1605824256 in words is "one billion, six hundred five million, eight hundred twenty-four thousand, two hundred fifty-six".