1680528384 has 110 divisors (see below), whose sum is σ = 5018633994. Its totient is φ = 560148480.

The previous prime is 1680528361. The next prime is 1680528439. The reversal of 1680528384 is 4838250861.

1680528384 is a `hidden beast` number, since 16 + 80 + 528 + 38 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 931958784 + 748569600 = 30528^2 + 27360^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 72814 + ... + 93074.

Almost surely, 2^1680528384 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 1680528384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509316997).

1680528384 is an abundant number, since it is smaller than the sum of its proper divisors (3338105610).

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

1680528384 is an equidigital number, since it uses as much as digits as its factorization.

1680528384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20293 (or 20266 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1680528384 is about 40994.2481819096. The cubic root of 1680528384 is about 1188.9090073801.

The spelling of 1680528384 in words is "one billion, six hundred eighty million, five hundred twenty-eight thousand, three hundred eighty-four".