1083280 has 40 divisors (see below), whose sum is σ = 2749824. Its totient is φ = 393600.

The previous prime is 1083253. The next prime is 1083283. The reversal of 1083280 is 823801.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083283) 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, 265 + ... + 1495.

2^1083280 is an apocalyptic number.

1083280 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 1083280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374912).

1083280 is an abundant number, since it is smaller than the sum of its proper divisors (1666544).

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

1083280 is a wasteful number, since it uses less digits than its factorization.

1083280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1083280 is about 1040.8073789131. The cubic root of 1083280 is about 102.7023170358.

The spelling of 1083280 in words is "one million, eighty-three thousand, two hundred eighty".