1680518880 has 192 divisors, whose sum is σ = 5965747200. Its totient is φ = 441745920.

The previous prime is 1680518869. The next prime is 1680518881. The reversal of 1680518880 is 888150861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680518881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303981 + ... + 309459.

It is an arithmetic number, because the mean of its divisors is an integer number (31071600).

Almost surely, 2^1680518880 is an apocalyptic number.

1680518880 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 1680518880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982873600).

1680518880 is an abundant number, since it is smaller than the sum of its proper divisors (4285228320).

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

1680518880 is a wasteful number, since it uses less digits than its factorization.

1680518880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The square root of 1680518880 is about 40994.1322630447. The cubic root of 1680518880 is about 1188.9067661381.

The spelling of 1680518880 in words is "one billion, six hundred eighty million, five hundred eighteen thousand, eight hundred eighty".