1681328 has 40 divisors (see below), whose sum is σ = 3656016. Its totient is φ = 742400.

The previous prime is 1681321. The next prime is 1681349. The reversal of 1681328 is 8231861.

It is a self number, because there is not a number n which added to its sum of digits gives 1681328.

It is not an unprimeable number, because it can be changed into a prime (1681321) 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 7 ways as a sum of consecutive naturals, for example, 7100 + ... + 7332.

2^1681328 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 1681328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828008).

1681328 is an abundant number, since it is smaller than the sum of its proper divisors (1974688).

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

1681328 is a wasteful number, since it uses less digits than its factorization.

1681328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 1681328 is about 1296.6603256057. The cubic root of 1681328 is about 118.9097543306.

It can be divided in two parts, 1681 and 328, that multiplied together give a cube (551368 = 82³).

The spelling of 1681328 in words is "one million, six hundred eighty-one thousand, three hundred twenty-eight".