1682688 has 72 divisors (see below), whose sum is σ = 5134528. Its totient is φ = 479232.

The previous prime is 1682671. The next prime is 1682693. The reversal of 1682688 is 8862861.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 5220 + ... + 5532.

2^1682688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567264).

1682688 is an abundant number, since it is smaller than the sum of its proper divisors (3451840).

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

1682688 is an equidigital number, since it uses as much as digits as its factorization.

1682688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 325 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 1682688 is about 1297.1846437574. The cubic root of 1682688 is about 118.9418071051.

It can be divided in two parts, 168 and 2688, that multiplied together give a square (451584 = 672²).

The spelling of 1682688 in words is "one million, six hundred eighty-two thousand, six hundred eighty-eight".