1680376992 has 144 divisors (see below), whose sum is σ = 5158514592. Its totient is φ = 477550080.

The previous prime is 1680376981. The next prime is 1680377003. The reversal of 1680376992 is 2996730861.

It is an interprime number because it is at equal distance from previous prime (1680376981) and next prime (1680377003).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 991698 + ... + 993390.

It is an arithmetic number, because the mean of its divisors is an integer number (35823018).

Almost surely, 2^1680376992 is an apocalyptic number.

1680376992 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 1680376992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579257296).

1680376992 is an abundant number, since it is smaller than the sum of its proper divisors (3478137600).

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

1680376992 is a wasteful number, since it uses less digits than its factorization.

1680376992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 1680376992 is about 40992.4016373767. The cubic root of 1680376992 is about 1188.8733049746.

The spelling of 1680376992 in words is "one billion, six hundred eighty million, three hundred seventy-six thousand, nine hundred ninety-two".