1606434816 has 360 divisors, whose sum is σ = 5379030720. Its totient is φ = 423886848.

The previous prime is 1606434803. The next prime is 1606434827. The reversal of 1606434816 is 6184346061.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55394290 + ... + 55394318.

It is an arithmetic number, because the mean of its divisors is an integer number (14941752).

Almost surely, 2^1606434816 is an apocalyptic number.

1606434816 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 1606434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689515360).

1606434816 is an abundant number, since it is smaller than the sum of its proper divisors (3772595904).

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

1606434816 is an equidigital number, since it uses as much as digits as its factorization.

1606434816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 1606434816 is about 40080.3544894503. The cubic root of 1606434816 is about 1171.1729576604.

The spelling of 1606434816 in words is "one billion, six hundred six million, four hundred thirty-four thousand, eight hundred sixteen".