1680977696 has 48 divisors (see below), whose sum is σ = 3396320928. Its totient is φ = 818496000.

The previous prime is 1680977677. The next prime is 1680977707. The reversal of 1680977696 is 6967790861.

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 7 ways as a sum of consecutive naturals, for example, 1157771 + ... + 1159221.

It is an arithmetic number, because the mean of its divisors is an integer number (70756686).

Almost surely, 2^1680977696 is an apocalyptic number.

1680977696 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 1680977696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698160464).

1680977696 is an abundant number, since it is smaller than the sum of its proper divisors (1715343232).

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

1680977696 is a wasteful number, since it uses less digits than its factorization.

1680977696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 59.

The square root of 1680977696 is about 40999.7279990978. The cubic root of 1680977696 is about 1189.0149549079.

The spelling of 1680977696 in words is "one billion, six hundred eighty million, nine hundred seventy-seven thousand, six hundred ninety-six".