1681920000 has 390 divisors, whose sum is σ = 6154078502. Its totient is φ = 442368000.

The previous prime is 1681919977. The next prime is 1681920001. The reversal of 1681920000 is 291861.

It can be written as a sum of positive squares in 5 ways, for example, as 603979776 + 1077940224 = 24576^2 + 32832^2 .

It is not an unprimeable number, because it can be changed into a prime (1681920001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23039964 + ... + 23040036.

Almost surely, 2^1681920000 is an apocalyptic number.

1681920000 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 1681920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077039251).

1681920000 is an abundant number, since it is smaller than the sum of its proper divisors (4472158502).

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

1681920000 is an frugal number, since it uses more digits than its factorization.

1681920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1681920000 is about 41011.2179775241. The cubic root of 1681920000 is about 1189.2370883841.

The spelling of 1681920000 in words is "one billion, six hundred eighty-one million, nine hundred twenty thousand".