1681000 has 48 divisors (see below), whose sum is σ = 4031820. Its totient is φ = 656000.

The previous prime is 1680983. The next prime is 1681003. The reversal of 1681000 is 1861.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 236196 + 1444804 = 486^2 + 1202^2 .

It is a super-2 number, since 2×1681000² = 5651522000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1681003) 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, 40980 + ... + 41020.

2^1681000 is an apocalyptic number.

1681000 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 1681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015910).

1681000 is an abundant number, since it is smaller than the sum of its proper divisors (2350820).

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

1681000 is an equidigital number, since it uses as much as digits as its factorization.

1681000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1681000 is about 1296.5338406690. The cubic root of 1681000 is about 118.9020213687.

Adding to 1681000 its reverse (1861), we get a palindrome (1682861).

The spelling of 1681000 in words is "one million, six hundred eighty-one thousand".