1680672 has 96 divisors (see below), whose sum is σ = 5249664. Its totient is φ = 460800.

The previous prime is 1680659. The next prime is 1680689. The reversal of 1680672 is 2760861.

It is a happy number.

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

It is an Ulam 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, 27522 + ... + 27582.

It is an arithmetic number, because the mean of its divisors is an integer number (54684).

2^1680672 is an apocalyptic number.

1680672 is a gapful number since it is divisible by the number (12) 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 1680672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624832).

1680672 is an abundant number, since it is smaller than the sum of its proper divisors (3568992).

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

1680672 is a wasteful number, since it uses less digits than its factorization.

1680672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1680672 is about 1296.4073433917. The cubic root of 1680672 is about 118.8942874009.

The spelling of 1680672 in words is "one million, six hundred eighty thousand, six hundred seventy-two".