1680448 has 84 divisors (see below), whose sum is σ = 4324096. Its totient is φ = 633600.

The previous prime is 1680439. The next prime is 1680457. The reversal of 1680448 is 8440861.

It is an interprime number because it is at equal distance from previous prime (1680439) and next prime (1680457).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a nialpdrome in base 8.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 54193 + ... + 54223.

2^1680448 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 1680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162048).

1680448 is an abundant number, since it is smaller than the sum of its proper divisors (2643648).

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

1680448 is a wasteful number, since it uses less digits than its factorization.

1680448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 1680448 is about 1296.3209479137. The cubic root of 1680448 is about 118.8890050885.

The spelling of 1680448 in words is "one million, six hundred eighty thousand, four hundred forty-eight".