1684480 has 88 divisors (see below), whose sum is σ = 4716288. Its totient is φ = 565248.

The previous prime is 1684477. The next prime is 1684481. The reversal of 1684480 is 844861.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35817 + ... + 35863.

2^1684480 is an apocalyptic number.

1684480 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 1684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358144).

1684480 is an abundant number, since it is smaller than the sum of its proper divisors (3031808).

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

1684480 is an equidigital number, since it uses as much as digits as its factorization.

1684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 1684480 is about 1297.8751866031. The cubic root of 1684480 is about 118.9840149891.

The spelling of 1684480 in words is "one million, six hundred eighty-four thousand, four hundred eighty".