1085705980 has 48 divisors (see below), whose sum is σ = 2407819680. Its totient is φ = 410082048.

The previous prime is 1085705977. The next prime is 1085705981. The reversal of 1085705980 is 895075801.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085705981) 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, 115954 + ... + 124966.

It is an arithmetic number, because the mean of its divisors is an integer number (50162910).

Almost surely, 2^1085705980 is an apocalyptic number.

1085705980 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 1085705980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203909840).

1085705980 is an abundant number, since it is smaller than the sum of its proper divisors (1322113700).

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

1085705980 is a wasteful number, since it uses less digits than its factorization.

1085705980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9358 (or 9356 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 43.

The square root of 1085705980 is about 32950.0528072414. The cubic root of 1085705980 is about 1027.7892634790.

The spelling of 1085705980 in words is "one billion, eighty-five million, seven hundred five thousand, nine hundred eighty".