1681887200 has 144 divisors (see below), whose sum is σ = 4716260640. Its totient is φ = 573726720.

The previous prime is 1681887191. The next prime is 1681887211. The reversal of 1681887200 is 27881861.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1304156 + ... + 1305444.

It is an arithmetic number, because the mean of its divisors is an integer number (32751810).

Almost surely, 2^1681887200 is an apocalyptic number.

1681887200 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 1681887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358130320).

1681887200 is an abundant number, since it is smaller than the sum of its proper divisors (3034373440).

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

1681887200 is a wasteful number, since it uses less digits than its factorization.

1681887200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 41.

The square root of 1681887200 is about 41010.8180849883. The cubic root of 1681887200 is about 1189.2293576894.

The spelling of 1681887200 in words is "one billion, six hundred eighty-one million, eight hundred eighty-seven thousand, two hundred".