1605712896 has 198 divisors, whose sum is σ = 4834686480. Its totient is φ = 532998144.

The previous prime is 1605712811. The next prime is 1605712973. The reversal of 1605712896 is 6982175061.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6718345 + ... + 6718583.

Almost surely, 2^1605712896 is an apocalyptic number.

1605712896 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 1605712896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417343240).

1605712896 is an abundant number, since it is smaller than the sum of its proper divisors (3228973584).

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

1605712896 is an frugal number, since it uses more digits than its factorization.

1605712896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1605712896 is about 40071.3475690549. The cubic root of 1605712896 is about 1170.9974925336.

The spelling of 1605712896 in words is "one billion, six hundred five million, seven hundred twelve thousand, eight hundred ninety-six".