1085736960 has 960 divisors, whose sum is σ = 5137292160. Its totient is φ = 212336640.

The previous prime is 1085736941. The next prime is 1085737001. The reversal of 1085736960 is 696375801.

It is a happy number.

1085736960 is a `hidden beast` number, since 10 + 8 + 573 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63866872 + ... + 63866888.

It is an arithmetic number, because the mean of its divisors is an integer number (5351346).

Almost surely, 2^1085736960 is an apocalyptic number.

1085736960 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 1085736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568646080).

1085736960 is an abundant number, since it is smaller than the sum of its proper divisors (4051555200).

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

1085736960 is a wasteful number, since it uses less digits than its factorization.

1085736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1085736960 is about 32950.5229093561. The cubic root of 1085736960 is about 1027.7990391792.

The spelling of 1085736960 in words is "one billion, eighty-five million, seven hundred thirty-six thousand, nine hundred sixty".