1605000096 has 180 divisors, whose sum is σ = 5491350018. Its totient is φ = 458535168.

The previous prime is 1605000049. The next prime is 1605000109. The reversal of 1605000096 is 6900005061.

It can be written as a sum of positive squares in only one way, i.e., 1565310096 + 39690000 = 39564^2 + 6300^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 120690 + ... + 133326.

Almost surely, 2^1605000096 is an apocalyptic number.

1605000096 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 1605000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745675009).

1605000096 is an abundant number, since it is smaller than the sum of its proper divisors (3886349922).

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

1605000096 is a wasteful number, since it uses less digits than its factorization.

1605000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12673 (or 12649 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1605000096 is about 40062.4524461496. The cubic root of 1605000096 is about 1170.8241924467.

The spelling of 1605000096 in words is "one billion, six hundred five million, ninety-six", and thus it is an aban number.