1089280 has 72 divisors (see below), whose sum is σ = 2796192. Its totient is φ = 405504.

The previous prime is 1089259. The next prime is 1089299. The reversal of 1089280 is 829801.

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 7 ways as a sum of consecutive naturals, for example, 29422 + ... + 29458.

It is an arithmetic number, because the mean of its divisors is an integer number (38836).

2^1089280 is an apocalyptic number.

1089280 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 1089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398096).

1089280 is an abundant number, since it is smaller than the sum of its proper divisors (1706912).

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

1089280 is an equidigital number, since it uses as much as digits as its factorization.

1089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1089280 is about 1043.6857764672. The cubic root of 1089280 is about 102.8915816483.

It can be divided in two parts, 1089 and 280, that added together give a square (1369 = 37²).

The spelling of 1089280 in words is "one million, eighty-nine thousand, two hundred eighty".