1682040 has 64 divisors (see below), whose sum is σ = 5132160. Its totient is φ = 440960.

The previous prime is 1682017. The next prime is 1682047. The reversal of 1682040 is 402861.

It is a junction number, because it is equal to n+sod(n) for n = 1681998 and 1682016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682047) by changing a digit.

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, 12775 + ... + 12905.

It is an arithmetic number, because the mean of its divisors is an integer number (80190).

2^1682040 is an apocalyptic number.

1682040 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 1682040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566080).

1682040 is an abundant number, since it is smaller than the sum of its proper divisors (3450120).

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

1682040 is a wasteful number, since it uses less digits than its factorization.

1682040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1682040 is about 1296.9348480167. The cubic root of 1682040 is about 118.9265370557.

The spelling of 1682040 in words is "one million, six hundred eighty-two thousand, forty".