1685120 has 32 divisors (see below), whose sum is σ = 4030020. Its totient is φ = 673792.

The previous prime is 1685119. The next prime is 1685153. The reversal of 1685120 is 215861.

It can be written as a sum of positive squares in 2 ways, for example, as 1577536 + 107584 = 1256^2 + 328^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 8.

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, 677 + ... + 1956.

2^1685120 is an apocalyptic number.

1685120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1685120 is an abundant number, since it is smaller than the sum of its proper divisors (2344900).

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

1685120 is an equidigital number, since it uses as much as digits as its factorization.

1685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 1685120 is about 1298.1217200247. The cubic root of 1685120 is about 118.9990819787. Note that the first 3 decimals are identical.

The spelling of 1685120 in words is "one million, six hundred eighty-five thousand, one hundred twenty".