1611328 has 28 divisors (see below), whose sum is σ = 3387852. Its totient is φ = 757760.

The previous prime is 1611319. The next prime is 1611331. The reversal of 1611328 is 8231161.

It can be written as a sum of positive squares in 2 ways, for example, as 984064 + 627264 = 992^2 + 792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1611299 and 1611308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 348 + ... + 1828.

2^1611328 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 1611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693926).

1611328 is an abundant number, since it is smaller than the sum of its proper divisors (1776524).

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

1611328 is a wasteful number, since it uses less digits than its factorization.

1611328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1500 counting only the distinct ones).

The product of its digits is 288, while the sum is 22.

The square root of 1611328 is about 1269.3809514878. The cubic root of 1611328 is about 117.2360879289.

Adding to 1611328 its reverse (8231161), we get a palindrome (9842489).

The spelling of 1611328 in words is "one million, six hundred eleven thousand, three hundred twenty-eight".