1680406884 has 90 divisors (see below), whose sum is σ = 4756980690. Its totient is φ = 517031424.

The previous prime is 1680406883. The next prime is 1680406891. The reversal of 1680406884 is 4886040861.

1680406884 is a `hidden beast` number, since 168 + 0 + 406 + 8 + 84 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 196616484 + 1483790400 = 14022^2 + 38520^2 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (1680406883) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 39412 + ... + 70100.

It is an arithmetic number, because the mean of its divisors is an integer number (52855341).

Almost surely, 2^1680406884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680406884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378490345).

1680406884 is an abundant number, since it is smaller than the sum of its proper divisors (3076573806).

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

1680406884 is a wasteful number, since it uses less digits than its factorization.

1680406884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30731 (or 30707 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 1680406884 is about 40992.7662399112. The cubic root of 1680406884 is about 1188.8803545018.

The spelling of 1680406884 in words is "one billion, six hundred eighty million, four hundred six thousand, eight hundred eighty-four".