1682960 has 40 divisors (see below), whose sum is σ = 3969240. Its totient is φ = 663552.

The previous prime is 1682951. The next prime is 1682987. The reversal of 1682960 is 692861.

It can be written as a sum of positive squares in 4 ways, for example, as 135424 + 1547536 = 368^2 + 1244^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8624 + ... + 8816.

It is an arithmetic number, because the mean of its divisors is an integer number (99231).

2^1682960 is an apocalyptic number.

1682960 is a gapful number since it is divisible by the number (10) 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 1682960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984620).

1682960 is an abundant number, since it is smaller than the sum of its proper divisors (2286280).

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

1682960 is a wasteful number, since it uses less digits than its factorization.

1682960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1682960 is about 1297.2894819584. The cubic root of 1682960 is about 118.9482155874.

Subtracting from 1682960 its reverse (692861), we obtain a palindrome (990099).

The spelling of 1682960 in words is "one million, six hundred eighty-two thousand, nine hundred sixty".