1085826560 has 320 divisors, whose sum is σ = 3299788800. Its totient is φ = 333545472.

The previous prime is 1085826559. The next prime is 1085826563. The reversal of 1085826560 is 656285801.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085826563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13744601 + ... + 13744679.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840).

Almost surely, 2^1085826560 is an apocalyptic number.

1085826560 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 1085826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649894400).

1085826560 is an abundant number, since it is smaller than the sum of its proper divisors (2213962240).

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

1085826560 is an equidigital number, since it uses as much as digits as its factorization.

1085826560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 1085826560 is about 32951.8824955419. The cubic root of 1085826560 is about 1027.8273113004.

The spelling of 1085826560 in words is "one billion, eighty-five million, eight hundred twenty-six thousand, five hundred sixty".