1330816 has 32 divisors (see below), whose sum is σ = 2732580. Its totient is φ = 645120.

The previous prime is 1330789. The next prime is 1330831. The reversal of 1330816 is 6180331.

1330816 = T₉₆ + T₉₇ + ... + T₂₀₆.

1330816 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 1201216 + 129600 = 1096^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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, 4596 + ... + 4876.

2^1330816 is an apocalyptic number.

1330816 is a gapful number since it is divisible by the number (16) 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 1330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366290).

1330816 is an abundant number, since it is smaller than the sum of its proper divisors (1401764).

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

1330816 is an equidigital number, since it uses as much as digits as its factorization.

1330816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1330816 is about 1153.6099860872. The cubic root of 1330816 is about 109.9949308959.

The spelling of 1330816 in words is "one million, three hundred thirty thousand, eight hundred sixteen".