1282320 has 120 divisors (see below), whose sum is σ = 4671576. Its totient is φ = 313344.

The previous prime is 1282297. The next prime is 1282343. The reversal of 1282320 is 232821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1282297) and next prime (1282343).

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 1245456 = 192^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1282293 and 1282302.

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 23 ways as a sum of consecutive naturals, for example, 9292 + ... + 9428.

2^1282320 is an apocalyptic number.

1282320 is a gapful number since it is divisible by the number (10) 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 1282320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335788).

1282320 is an abundant number, since it is smaller than the sum of its proper divisors (3389256).

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

1282320 is a wasteful number, since it uses less digits than its factorization.

1282320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1282320 is about 1132.3956905605. The cubic root of 1282320 is about 108.6422634970.

The spelling of 1282320 in words is "one million, two hundred eighty-two thousand, three hundred twenty".