1680096000 has 576 divisors, whose sum is σ = 6397687296. Its totient is φ = 387072000.

The previous prime is 1680095999. The next prime is 1680096001. The reversal of 1680096000 is 6900861.

It is an interprime number because it is at equal distance from previous prime (1680095999) and next prime (1680096001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1680096001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39071979 + ... + 39072021.

It is an arithmetic number, because the mean of its divisors is an integer number (11107096).

Almost surely, 2^1680096000 is an apocalyptic number.

1680096000 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 1680096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198843648).

1680096000 is an abundant number, since it is smaller than the sum of its proper divisors (4717591296).

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

1680096000 is a wasteful number, since it uses less digits than its factorization.

1680096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1680096000 is about 40988.9741271967. The cubic root of 1680096000 is about 1188.8070336335.

Adding to 1680096000 its reverse (6900861), we get a palindrome (1686996861).

The spelling of 1680096000 in words is "one billion, six hundred eighty million, ninety-six thousand".