1085760 has 168 divisors, whose sum is σ = 4160520. Its totient is φ = 258048.

The previous prime is 1085753. The next prime is 1085767. The reversal of 1085760 is 675801.

It is an interprime number because it is at equal distance from previous prime (1085753) and next prime (1085767).

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 1065024 = 144^2 + 1032^2 .

It is an Ulam number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37426 + ... + 37454.

It is an arithmetic number, because the mean of its divisors is an integer number (24765).

2^1085760 is an apocalyptic number.

1085760 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 1085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080260).

1085760 is an abundant number, since it is smaller than the sum of its proper divisors (3074760).

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

1085760 is a wasteful number, since it uses less digits than its factorization.

1085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1085760 is about 1041.9980806124. The cubic root of 1085760 is about 102.7806309302.

The spelling of 1085760 in words is "one million, eighty-five thousand, seven hundred sixty".