1606772736 has 144 divisors (see below), whose sum is σ = 4676162400. Its totient is φ = 531505152.

The previous prime is 1606772719. The next prime is 1606772773. The reversal of 1606772736 is 6372776061.

1606772736 is a `hidden beast` number, since 1 + 606 + 7 + 7 + 2 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1606772691 and 1606772700.

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 11 ways as a sum of consecutive naturals, for example, 3299085 + ... + 3299571.

It is an arithmetic number, because the mean of its divisors is an integer number (32473350).

Almost surely, 2^1606772736 is an apocalyptic number.

1606772736 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 1606772736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338081200).

1606772736 is an abundant number, since it is smaller than the sum of its proper divisors (3069389664).

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

1606772736 is a wasteful number, since it uses less digits than its factorization.

1606772736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 1606772736 is about 40084.5697993629. The cubic root of 1606772736 is about 1171.2550722110.

The spelling of 1606772736 in words is "one billion, six hundred six million, seven hundred seventy-two thousand, seven hundred thirty-six".