1683360 has 144 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 382464.

The previous prime is 1683359. The next prime is 1683373. The reversal of 1683360 is 633861.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 9997 + ... + 10163.

It is an arithmetic number, because the mean of its divisors is an integer number (45864).

2^1683360 is an apocalyptic number.

1683360 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 1683360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

1683360 is an abundant number, since it is smaller than the sum of its proper divisors (4921056).

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

1683360 is a wasteful number, since it uses less digits than its factorization.

1683360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1683360 is about 1297.4436403944. The cubic root of 1683360 is about 118.9576385717.

The spelling of 1683360 in words is "one million, six hundred eighty-three thousand, three hundred sixty".