1089360 has 120 divisors (see below), whose sum is σ = 3917160. Its totient is φ = 270336.

The previous prime is 1089359. The next prime is 1089383. The reversal of 1089360 is 639801.

It can be written as a sum of positive squares in 4 ways, for example, as 97344 + 992016 = 312^2 + 996^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12196 + ... + 12284.

It is an arithmetic number, because the mean of its divisors is an integer number (32643).

2^1089360 is an apocalyptic number.

1089360 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 1089360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958580).

1089360 is an abundant number, since it is smaller than the sum of its proper divisors (2827800).

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

1089360 is a wasteful number, since it uses less digits than its factorization.

1089360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1089360 is about 1043.7241014751. The cubic root of 1089360 is about 102.8941004758.

The spelling of 1089360 in words is "one million, eighty-nine thousand, three hundred sixty".