1606058496 has 240 divisors, whose sum is σ = 5532547680. Its totient is φ = 458680320.

The previous prime is 1606058477. The next prime is 1606058507. The reversal of 1606058496 is 6948506061.

1606058496 is a `hidden beast` number, since 1 + 6 + 0 + 60 + 584 + 9 + 6 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 676191 + ... + 678561.

It is an arithmetic number, because the mean of its divisors is an integer number (23052282).

Almost surely, 2^1606058496 is an apocalyptic number.

1606058496 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 1606058496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766273840).

1606058496 is an abundant number, since it is smaller than the sum of its proper divisors (3926489184).

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

1606058496 is an equidigital number, since it uses as much as digits as its factorization.

1606058496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1606058496 is about 40075.6596452261. The cubic root of 1606058496 is about 1171.0814983571.

The spelling of 1606058496 in words is "one billion, six hundred six million, fifty-eight thousand, four hundred ninety-six".