1682160 has 80 divisors (see below), whose sum is σ = 5368704. Its totient is φ = 435456.

The previous prime is 1682159. The next prime is 1682179. The reversal of 1682160 is 612861.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1682160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10239 + ... + 10401.

2^1682160 is an apocalyptic number.

1682160 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 1682160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684352).

1682160 is an abundant number, since it is smaller than the sum of its proper divisors (3686544).

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

1682160 is a wasteful number, since it uses less digits than its factorization.

1682160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1682160 is about 1296.9811101169. The cubic root of 1682160 is about 118.9293651385.

The spelling of 1682160 in words is "one million, six hundred eighty-two thousand, one hundred sixty".