1085960320 has 64 divisors (see below), whose sum is σ = 2600602200. Its totient is φ = 433635328.

The previous prime is 1085960261. The next prime is 1085960327. The reversal of 1085960320 is 230695801.

It can be written as a sum of positive squares in 4 ways, for example, as 739404864 + 346555456 = 27192^2 + 18616^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1085960320² = 2358619633229004800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1085960327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509016 + ... + 511144.

Almost surely, 2^1085960320 is an apocalyptic number.

1085960320 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 1085960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300301100).

1085960320 is an abundant number, since it is smaller than the sum of its proper divisors (1514641880).

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

1085960320 is an equidigital number, since it uses as much as digits as its factorization.

1085960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 1085960320 is about 32953.9120591167. The cubic root of 1085960320 is about 1027.8695146447.

The spelling of 1085960320 in words is "one billion, eighty-five million, nine hundred sixty thousand, three hundred twenty".