1605081096 has 192 divisors, whose sum is σ = 4741027200. Its totient is φ = 508032000.

The previous prime is 1605081077. The next prime is 1605081103. The reversal of 1605081096 is 6901805061.

1605081096 is a `hidden beast` number, since 1 + 60 + 508 + 1 + 0 + 96 = 666.

It is a super-2 number, since 2×1605081096² = 5152570649473122432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1605081096.

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, 4002496 + ... + 4002896.

It is an arithmetic number, because the mean of its divisors is an integer number (24692850).

Almost surely, 2^1605081096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1605081096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370513600).

1605081096 is an abundant number, since it is smaller than the sum of its proper divisors (3135946104).

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

1605081096 is a wasteful number, since it uses less digits than its factorization.

1605081096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1605081096 is about 40063.4633550321. The cubic root of 1605081096 is about 1170.8438882221.

It can be divided in two parts, 160508 and 1096, that added together give a square (161604 = 402²).

The spelling of 1605081096 in words is "one billion, six hundred five million, eighty-one thousand, ninety-six".