1320288 has 48 divisors (see below), whose sum is σ = 3674160. Its totient is φ = 413696.

The previous prime is 1320287. The next prime is 1320301. The reversal of 1320288 is 8820231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320287) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1228 + ... + 2036.

It is an arithmetic number, because the mean of its divisors is an integer number (76545).

2^1320288 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 1320288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837080).

1320288 is an abundant number, since it is smaller than the sum of its proper divisors (2353872).

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

1320288 is a wasteful number, since it uses less digits than its factorization.

1320288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1320288 is about 1149.0378583841. The cubic root of 1320288 is about 109.7041083690.

It can be divided in two parts, 13 and 20288, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 1320288 in words is "one million, three hundred twenty thousand, two hundred eighty-eight".