1680101400 has 96 divisors (see below), whose sum is σ = 5281804800. Its totient is φ = 441705600.

The previous prime is 1680101393. The next prime is 1680101417. The reversal of 1680101400 is 41010861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22881 + ... + 62319.

It is an arithmetic number, because the mean of its divisors is an integer number (55018800).

Almost surely, 2^1680101400 is an apocalyptic number.

1680101400 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 1680101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640902400).

1680101400 is an abundant number, since it is smaller than the sum of its proper divisors (3601703400).

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

1680101400 is a wasteful number, since it uses less digits than its factorization.

1680101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39529 (or 39520 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1680101400 is about 40989.0399985167. The cubic root of 1680101400 is about 1188.8083072812.

The spelling of 1680101400 in words is "one billion, six hundred eighty million, one hundred one thousand, four hundred".