1677980668 has 96 divisors (see below), whose sum is σ = 3821027840. Its totient is φ = 626123520.

The previous prime is 1677980659. The next prime is 1677980669. The reversal of 1677980668 is 8660897761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1677980669) 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 31 ways as a sum of consecutive naturals, for example, 2288830 + ... + 2289562.

Almost surely, 2^1677980668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1677980668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910513920).

1677980668 is an abundant number, since it is smaller than the sum of its proper divisors (2143047172).

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

1677980668 is a wasteful number, since it uses less digits than its factorization.

1677980668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 58.

The square root of 1677980668 is about 40963.1623290976. The cubic root of 1677980668 is about 1188.3078999155.

The spelling of 1677980668 in words is "one billion, six hundred seventy-seven million, nine hundred eighty thousand, six hundred sixty-eight".