1680219900 has 108 divisors (see below), whose sum is σ = 5277729912. Its totient is φ = 447108480.

The previous prime is 1680219887. The next prime is 1680219901. The reversal of 1680219900 is 99120861.

1680219900 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680219901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 490594 + ... + 494006.

Almost surely, 2^1680219900 is an apocalyptic number.

1680219900 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 1680219900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638864956).

1680219900 is an abundant number, since it is smaller than the sum of its proper divisors (3597510012).

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

1680219900 is a wasteful number, since it uses less digits than its factorization.

1680219900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1680219900 is about 40990.4854813895. The cubic root of 1680219900 is about 1188.8362560849.

The spelling of 1680219900 in words is "one billion, six hundred eighty million, two hundred nineteen thousand, nine hundred".