1680736 has 24 divisors (see below), whose sum is σ = 3374784. Its totient is φ = 823680.

The previous prime is 1680709. The next prime is 1680743. The reversal of 1680736 is 6370861.

1680736 = 13² + 14² + ... + 171².

It is a junction number, because it is equal to n+sod(n) for n = 1680698 and 1680707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1201 + ... + 2191.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

2^1680736 is an apocalyptic number.

1680736 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 1680736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392).

1680736 is an abundant number, since it is smaller than the sum of its proper divisors (1694048).

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

1680736 is an equidigital number, since it uses as much as digits as its factorization.

1680736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 1680736 is about 1296.4320267565. The cubic root of 1680736 is about 118.8957965468.

The spelling of 1680736 in words is "one million, six hundred eighty thousand, seven hundred thirty-six".