1681856000 has 160 divisors (see below), whose sum is σ = 4576983840. Its totient is φ = 611328000.

The previous prime is 1681855999. The next prime is 1681856009. The reversal of 1681856000 is 6581861.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681856009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702806 + ... + 705194.

It is an arithmetic number, because the mean of its divisors is an integer number (28606149).

Almost surely, 2^1681856000 is an apocalyptic number.

1681856000 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 1681856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288491920).

1681856000 is an abundant number, since it is smaller than the sum of its proper divisors (2895127840).

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

1681856000 is an equidigital number, since it uses as much as digits as its factorization.

1681856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 1681856000 is about 41010.4376957867. The cubic root of 1681856000 is about 1189.2220040085. Note that the first 3 decimals are identical.

The spelling of 1681856000 in words is "one billion, six hundred eighty-one million, eight hundred fifty-six thousand".