1681868200 has 48 divisors (see below), whose sum is σ = 3936310560. Its totient is φ = 668280000.

The previous prime is 1681868183. The next prime is 1681868207. The reversal of 1681868200 is 28681861.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1681868207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2355 + ... + 58045.

It is an arithmetic number, because the mean of its divisors is an integer number (82006470).

Almost surely, 2^1681868200 is an apocalyptic number.

1681868200 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 1681868200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968155280).

1681868200 is an abundant number, since it is smaller than the sum of its proper divisors (2254442360).

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

1681868200 is a wasteful number, since it uses less digits than its factorization.

1681868200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55858 (or 55849 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 1681868200 is about 41010.5864381381. The cubic root of 1681868200 is about 1189.2248794971.

The spelling of 1681868200 in words is "one billion, six hundred eighty-one million, eight hundred sixty-eight thousand, two hundred".