1083360 has 96 divisors (see below), whose sum is σ = 3562272. Its totient is φ = 276480.

The previous prime is 1083349. The next prime is 1083367. The reversal of 1083360 is 633801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17730 + ... + 17790.

It is an arithmetic number, because the mean of its divisors is an integer number (37107).

2^1083360 is an apocalyptic number.

1083360 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 1083360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781136).

1083360 is an abundant number, since it is smaller than the sum of its proper divisors (2478912).

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

1083360 is a wasteful number, since it uses less digits than its factorization.

1083360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1083360 is about 1040.8458099065. The cubic root of 1083360 is about 102.7048451551.

The spelling of 1083360 in words is "one million, eighty-three thousand, three hundred sixty".