1680896 has 60 divisors (see below), whose sum is σ = 3965148. Its totient is φ = 709632.

The previous prime is 1680893. The next prime is 1680901. The reversal of 1680896 is 6980861.

It is a super-2 number, since 2×1680896² = 5650822725632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25055 + ... + 25121.

2^1680896 is an apocalyptic number.

1680896 is a gapful number since it is divisible by the number (16) 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 1680896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982574).

1680896 is an abundant number, since it is smaller than the sum of its proper divisors (2284252).

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

1680896 is an frugal number, since it uses more digits than its factorization.

1680896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 1680896 is about 1296.4937331125. The cubic root of 1680896 is about 118.8995692440.

The spelling of 1680896 in words is "one million, six hundred eighty thousand, eight hundred ninety-six".