1680410424 has 256 divisors, whose sum is σ = 5617382400. Its totient is φ = 405504000.

The previous prime is 1680410399. The next prime is 1680410437. The reversal of 1680410424 is 4240140861.

It is a junction number, because it is equal to n+sod(n) for n = 1680410391 and 1680410400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2795724 + ... + 2796324.

It is an arithmetic number, because the mean of its divisors is an integer number (21942900).

Almost surely, 2^1680410424 is an apocalyptic number.

1680410424 is a gapful number since it is divisible by the number (14) 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 1680410424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808691200).

1680410424 is an abundant number, since it is smaller than the sum of its proper divisors (3936971976).

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

1680410424 is a wasteful number, since it uses less digits than its factorization.

1680410424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1680410424 is about 40992.8094182382. The cubic root of 1680410424 is about 1188.8811893459.

The spelling of 1680410424 in words is "one billion, six hundred eighty million, four hundred ten thousand, four hundred twenty-four".