1680268000 has 96 divisors (see below), whose sum is σ = 4224860640. Its totient is φ = 656409600.

The previous prime is 1680267989. The next prime is 1680268061. The reversal of 1680268000 is 8620861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167116 + ... + 176884.

It is an arithmetic number, because the mean of its divisors is an integer number (44008965).

Almost surely, 2^1680268000 is an apocalyptic number.

1680268000 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 1680268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112430320).

1680268000 is an abundant number, since it is smaller than the sum of its proper divisors (2544592640).

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

1680268000 is an equidigital number, since it uses as much as digits as its factorization.

1680268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9837 (or 9819 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 1680268000 is about 40991.0721987118. The cubic root of 1680268000 is about 1188.8476003298.

Adding to 1680268000 its reverse (8620861), we get a palindrome (1688888861).

The spelling of 1680268000 in words is "one billion, six hundred eighty million, two hundred sixty-eight thousand".