1606786272 has 288 divisors, whose sum is σ = 5779230912. Its totient is φ = 412065792.

The previous prime is 1606786253. The next prime is 1606786273. The reversal of 1606786272 is 2726876061.

1606786272 is a `hidden beast` number, since 16 + 0 + 6 + 7 + 8 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1606786273) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 968868 + ... + 970524.

It is an arithmetic number, because the mean of its divisors is an integer number (20066774).

Almost surely, 2^1606786272 is an apocalyptic number.

1606786272 is a gapful number since it is divisible by the number (12) 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 1606786272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889615456).

1606786272 is an abundant number, since it is smaller than the sum of its proper divisors (4172444640).

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

1606786272 is a wasteful number, since it uses less digits than its factorization.

1606786272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1606786272 is about 40084.7386420318. The cubic root of 1606786272 is about 1171.2583612188.

The spelling of 1606786272 in words is "one billion, six hundred six million, seven hundred eighty-six thousand, two hundred seventy-two".