1681876224 has 180 divisors, whose sum is σ = 5731981024. Its totient is φ = 480494592.

The previous prime is 1681876193. The next prime is 1681876241. The reversal of 1681876224 is 4226781861.

1681876224 is a `hidden beast` number, since 1 + 6 + 8 + 18 + 7 + 622 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1681876224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139359 + ... + 150945.

Almost surely, 2^1681876224 is an apocalyptic number.

1681876224 is a gapful number since it is divisible by the number (14) 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 1681876224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865990512).

1681876224 is an abundant number, since it is smaller than the sum of its proper divisors (4050104800).

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

1681876224 is an equidigital number, since it uses as much as digits as its factorization.

1681876224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11622 (or 11599 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 1681876224 is about 41010.6842664201. The cubic root of 1681876224 is about 1189.2267707125.

The spelling of 1681876224 in words is "one billion, six hundred eighty-one million, eight hundred seventy-six thousand, two hundred twenty-four".