1646120727 has 48 divisors (see below), whose sum is σ = 2686750560. Its totient is φ = 964970496.

The previous prime is 1646120719. The next prime is 1646120737. The reversal of 1646120727 is 7270216461.

1646120727 is a `hidden beast` number, since 1 + 646 + 1 + 2 + 0 + 7 + 2 + 7 = 666.

It is not a de Polignac number, because 1646120727 - 2³ = 1646120719 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1646120691 and 1646120700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1646120737) 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, 208333 + ... + 216089.

It is an arithmetic number, because the mean of its divisors is an integer number (55973970).

Almost surely, 2^1646120727 is an apocalyptic number.

1646120727 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1646120727 is a deficient number, since it is larger than the sum of its proper divisors (1040629833).

1646120727 is a wasteful number, since it uses less digits than its factorization.

1646120727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7872 (or 7869 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1646120727 is about 40572.4133741142. The cubic root of 1646120727 is about 1180.7389623492.

The spelling of 1646120727 in words is "one billion, six hundred forty-six million, one hundred twenty thousand, seven hundred twenty-seven".