1680870400 has 264 divisors, whose sum is σ = 4678557696. Its totient is φ = 593510400.

The previous prime is 1680870377. The next prime is 1680870403. The reversal of 1680870400 is 40780861.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1680870403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13235137 + ... + 13235263.

Almost surely, 2^1680870400 is an apocalyptic number.

1680870400 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 1680870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339278848).

1680870400 is an abundant number, since it is smaller than the sum of its proper divisors (2997687296).

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

1680870400 is a wasteful number, since it uses less digits than its factorization.

1680870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 1680870400 is about 40998.4194817312. The cubic root of 1680870400 is about 1188.9896562849.

The spelling of 1680870400 in words is "one billion, six hundred eighty million, eight hundred seventy thousand, four hundred".