1681128 has 64 divisors (see below), whose sum is σ = 4804800. Its totient is φ = 544320.

The previous prime is 1681103. The next prime is 1681129. The reversal of 1681128 is 8211861.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (1681129) 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, 9198 + ... + 9378.

It is an arithmetic number, because the mean of its divisors is an integer number (75075).

2^1681128 is an apocalyptic number.

1681128 is a gapful number since it is divisible by the number (18) 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 1681128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402400).

1681128 is an abundant number, since it is smaller than the sum of its proper divisors (3123672).

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

1681128 is a wasteful number, since it uses less digits than its factorization.

1681128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 1681128 is about 1296.5832021124. The cubic root of 1681128 is about 118.9050392296.

Adding to 1681128 its reverse (8211861), we get a palindrome (9892989).

It can be divided in two parts, 168 and 1128, that added together give a 4-th power (1296 = 6⁴).

The spelling of 1681128 in words is "one million, six hundred eighty-one thousand, one hundred twenty-eight".