1606736736 has 360 divisors, whose sum is σ = 5353175520. Its totient is φ = 472158720.

The previous prime is 1606736707. The next prime is 1606736743. The reversal of 1606736736 is 6376376061.

1606736736 is a `hidden beast` number, since 1 + 606 + 7 + 3 + 6 + 7 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1606736691 and 1606736700.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 14740650 + ... + 14740758.

It is an arithmetic number, because the mean of its divisors is an integer number (14869932).

Almost surely, 2^1606736736 is an apocalyptic number.

1606736736 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 1606736736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676587760).

1606736736 is an abundant number, since it is smaller than the sum of its proper divisors (3746438784).

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

1606736736 is a wasteful number, since it uses less digits than its factorization.

1606736736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 1606736736 is about 40084.1207462506. The cubic root of 1606736736 is about 1171.2463247600.

The spelling of 1606736736 in words is "one billion, six hundred six million, seven hundred thirty-six thousand, seven hundred thirty-six".