1682720 has 48 divisors (see below), whose sum is σ = 4286520. Its totient is φ = 620544.

The previous prime is 1682717. The next prime is 1682753. The reversal of 1682720 is 272861.

It can be written as a sum of positive squares in 4 ways, for example, as 1373584 + 309136 = 1172^2 + 556^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1682720.

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, 1676 + ... + 2484.

2^1682720 is an apocalyptic number.

1682720 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 1682720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143260).

1682720 is an abundant number, since it is smaller than the sum of its proper divisors (2603800).

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

1682720 is a wasteful number, since it uses less digits than its factorization.

1682720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1682720 is about 1297.1969781032. The cubic root of 1682720 is about 118.9425610801.

The spelling of 1682720 in words is "one million, six hundred eighty-two thousand, seven hundred twenty".