1680096 has 96 divisors (see below), whose sum is σ = 5056128. Its totient is φ = 483840.

The previous prime is 1680089. The next prime is 1680101. The reversal of 1680096 is 6900861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39051 + ... + 39093.

It is an arithmetic number, because the mean of its divisors is an integer number (52668).

2^1680096 is an apocalyptic number.

1680096 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 1680096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528064).

1680096 is an abundant number, since it is smaller than the sum of its proper divisors (3376032).

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

1680096 is a wasteful number, since it uses less digits than its factorization.

1680096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1680096 is about 1296.1851719565. The cubic root of 1680096 is about 118.8807033634.

The spelling of 1680096 in words is "one million, six hundred eighty thousand, ninety-six".