1328664 has 64 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 404096.

The previous prime is 1328653. The next prime is 1328671. The reversal of 1328664 is 4668231.

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

It is a d-powerful number, because it can be written as 1 + 3² + 2⁷ + 8 + 6 + 6⁷ + 4¹⁰ .

Its product of digits (6912) is a multiple of the sum of its prime factors (144).

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 15 ways as a sum of consecutive naturals, for example, 15967 + ... + 16049.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2^1328664 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 1328664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1328664 is an abundant number, since it is smaller than the sum of its proper divisors (2300136).

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

1328664 is a wasteful number, since it uses less digits than its factorization.

1328664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 140 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 1328664 is about 1152.6768844737. The cubic root of 1328664 is about 109.9356096984.

It can be divided in two parts, 132866 and 4, that added together give a triangular number (132870 = T₅₁₅).

The spelling of 1328664 in words is "one million, three hundred twenty-eight thousand, six hundred sixty-four".