1681968 has 40 divisors (see below), whose sum is σ = 4418368. Its totient is φ = 551232.

The previous prime is 1681957. The next prime is 1681973. The reversal of 1681968 is 8691861.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2955 + ... + 3477.

2^1681968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1681968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209184).

1681968 is an abundant number, since it is smaller than the sum of its proper divisors (2736400).

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

1681968 is a wasteful number, since it uses less digits than its factorization.

1681968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 595 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 1681968 is about 1296.9070899644. The cubic root of 1681968 is about 118.9248401415.

The spelling of 1681968 in words is "one million, six hundred eighty-one thousand, nine hundred sixty-eight".