1680314880 has 160 divisors (see below), whose sum is σ = 5396136768. Its totient is φ = 446054400.

The previous prime is 1680314879. The next prime is 1680314953. The reversal of 1680314880 is 884130861.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2541750 + ... + 2542410.

Almost surely, 2^1680314880 is an apocalyptic number.

1680314880 is a gapful number since it is divisible by the number (10) 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 1680314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698068384).

1680314880 is an abundant number, since it is smaller than the sum of its proper divisors (3715821888).

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

1680314880 is an equidigital number, since it uses as much as digits as its factorization.

1680314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 1680314880 is about 40991.6440265574. The cubic root of 1680314880 is about 1188.8586566330.

The spelling of 1680314880 in words is "one billion, six hundred eighty million, three hundred fourteen thousand, eight hundred eighty".